117:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
Ahora tratamos el caso  < 0.:@0.108233:0.096194:0.316932:0.096194:0.316932:0.079697:0.108233:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.277611:0.096310:0.290731:0.096310:0.290731:0.079841:0.277611:0.079841:0.000000:0.000000
Nuevamente, para todo :@0.108233:0.123854:0.284082:0.123854:0.284082:0.107357:0.108233:0.107357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.284853:0.123970:0.292328:0.123970:0.292328:0.107501:0.284853:0.107501:0.000000
 :@0.292325:0.126527:0.294530:0.126527:0.294530:0.117745:0.292325:0.117745:0.000000
 :@0.294939:0.123638:0.315803:0.123638:0.315803:0.108991:0.294939:0.108991:0.000000:0.000000
R:@0.316690:0.122886:0.330599:0.122886:0.330599:0.109439:0.316690:0.109439:0.000000
, :@0.330599:0.123855:0.337496:0.123855:0.337496:0.107357:0.330599:0.107357:0.000000:0.000000
2:@0.370768:0.138628:0.379264:0.138628:0.379264:0.122130:0.370768:0.122130:0.000000
0:@0.424952:0.127627:0.433448:0.127627:0.433448:0.111129:0.424952:0.111129:0.000000
2 2:@0.400452:0.108157:0.404093:0.108702:0.404093:0.099084:0.400452:0.098608:0.000000:0.000000:0.000000
+:@0.355952:0.128263:0.366529:0.128263:0.366529:0.111982:0.355952:0.111982:0.000000
≥:@0.410916:0.128263:0.421493:0.128263:0.421493:0.111982:0.410916:0.111982:0.000000
x:@0.345063:0.127742:0.352538:0.127742:0.352538:0.111274:0.345063:0.111274:0.000000
b:@0.375114:0.118431:0.384380:0.118431:0.384380:0.101962:0.375114:0.101962:0.000000
a:@0.379930:0.138744:0.388908:0.138744:0.388908:0.122275:0.379930:0.122275:0.000000
 ≥ 0 y siendo  < 0, resulta :@0.404094:0.123855:0.599906:0.123855:0.599906:0.107357:0.404094:0.107357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.502788:0.123971:0.515907:0.123971:0.515907:0.107502:0.502788:0.107502:0.000000:0.000000
 :@0.595764:0.123855:0.599906:0.123855:0.599906:0.107357:0.595764:0.107357:0.000000
a:@0.108237:0.165468:0.117215:0.165468:0.117215:0.148999:0.108237:0.148999:0.000000
2:@0.149707:0.180119:0.158203:0.180119:0.158203:0.163621:0.149707:0.163621:0.000000
0:@0.203891:0.169118:0.212387:0.169118:0.212387:0.152620:0.203891:0.152620:0.000000
2 2:@0.179391:0.149648:0.183032:0.150193:0.183032:0.140575:0.179391:0.140099:0.000000:0.000000:0.000000
+:@0.134891:0.169754:0.145468:0.169754:0.145468:0.153473:0.134891:0.153473:0.000000
≥:@0.189855:0.169754:0.200432:0.169754:0.200432:0.153473:0.189855:0.153473:0.000000
x:@0.124002:0.169233:0.131477:0.169233:0.131477:0.152765:0.124002:0.152765:0.000000
b:@0.154053:0.159922:0.163319:0.159922:0.163319:0.143453:0.154053:0.143453:0.000000
a:@0.158869:0.180235:0.167846:0.180235:0.167846:0.163766:0.158869:0.163766:0.000000
 ≤ 0.  Luego, :@0.183033:0.165346:0.279704:0.165346:0.279704:0.148848:0.183033:0.148848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.298746:0.172268:0.309323:0.172268:0.309323:0.155988:0.298746:0.155988:0.000000
−:@0.342035:0.162957:0.352612:0.162957:0.352612:0.146676:0.342035:0.146676:0.000000
+:@0.421721:0.172268:0.432297:0.172268:0.432297:0.155988:0.421721:0.155988:0.000000
≤:@0.476473:0.172268:0.487049:0.172268:0.487049:0.155988:0.476473:0.155988:0.000000
y:@0.287857:0.171748:0.295544:0.171748:0.295544:0.155279:0.287857:0.155279:0.000000
ac b:@0.323151:0.162436:0.364610:0.162436:0.364610:0.145968:0.323151:0.145968:0.000000:0.000000:0.000000:0.000000
a:@0.343091:0.182708:0.352068:0.182708:0.352068:0.166239:0.343091:0.166239:0.000000
ax:@0.389943:0.171748:0.418301:0.171748:0.418301:0.155279:0.389943:0.155279:0.000000:0.000000
b:@0.440880:0.162436:0.450147:0.162436:0.450147:0.145968:0.440880:0.145968:0.000000
a a:@0.445697:0.182708:0.461109:0.180235:0.461109:0.163766:0.445697:0.166239:0.000000:0.000000:0.000000
4:@0.313981:0.162321:0.322477:0.162321:0.322477:0.145823:0.313981:0.145823:0.000000
4:@0.333921:0.182592:0.342416:0.182592:0.342416:0.166094:0.333921:0.166094:0.000000
=:@0.376226:0.171632:0.387034:0.171632:0.387034:0.155135:0.376226:0.155135:0.000000
2 2:@0.436526:0.182592:0.451465:0.180119:0.451465:0.163621:0.436526:0.166094:0.000000:0.000000:0.000000
0,:@0.490546:0.171632:0.501720:0.171632:0.501720:0.155135:0.490546:0.155135:0.000000:0.000000
2:@0.364866:0.154285:0.369784:0.154285:0.369784:0.144736:0.364866:0.144736:0.000000
2 2:@0.466218:0.152163:0.476294:0.150193:0.476294:0.140575:0.466218:0.142614:0.000000:0.000000:0.000000
 = :@0.374355:0.165346:0.397473:0.165346:0.397473:0.148848:0.374355:0.148848:0.000000:0.000000:0.000000
a:@0.401500:0.165461:0.410477:0.165461:0.410477:0.148993:0.401500:0.148993:0.000000
0:@0.497153:0.169118:0.505649:0.169118:0.505649:0.152620:0.497153:0.152620:0.000000
2:@0.472653:0.149648:0.477570:0.149648:0.477570:0.140099:0.472653:0.140099:0.000000
+:@0.428154:0.169754:0.438730:0.169754:0.438730:0.153473:0.428154:0.153473:0.000000
≥:@0.483117:0.169754:0.493694:0.169754:0.493694:0.153473:0.483117:0.153473:0.000000
x:@0.417265:0.169233:0.424739:0.169233:0.424739:0.152765:0.417265:0.152765:0.000000
b:@0.447315:0.159922:0.456582:0.159922:0.456582:0.143453:0.447315:0.143453:0.000000
 ≤ 0,  de donde :@0.476295:0.165346:0.599920:0.165346:0.599920:0.148848:0.476295:0.148848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.139540:0.201297:0.148036:0.201297:0.148036:0.184799:0.139540:0.184799:0.000000
4:@0.159643:0.221610:0.168139:0.221610:0.168139:0.205112:0.159643:0.205112:0.000000
.  :@0.200581:0.210609:0.211214:0.210609:0.211214:0.194111:0.200581:0.194111:0.000000:0.000000:0.000000
2:@0.190425:0.193261:0.195343:0.193261:0.195343:0.183713:0.190425:0.183713:0.000000
≤:@0.123990:0.211245:0.134567:0.211245:0.134567:0.194964:0.123990:0.194964:0.000000
−:@0.167607:0.201933:0.178184:0.201933:0.178184:0.185652:0.167607:0.185652:0.000000
y:@0.112373:0.210724:0.120060:0.210724:0.120060:0.194256:0.112373:0.194256:0.000000
ac b:@0.148708:0.201413:0.190167:0.201413:0.190167:0.184944:0.148708:0.184944:0.000000:0.000000:0.000000:0.000000
a:@0.168803:0.221726:0.177781:0.221726:0.177781:0.205257:0.168803:0.205257:0.000000
En este caso, el recorrido de   es el conjunto :@0.108241:0.239902:0.421200:0.239902:0.421200:0.223405:0.108241:0.223405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.308904:0.240018:0.313201:0.240018:0.313201:0.223549:0.308904:0.223549:0.000000
=:@0.476161:0.239904:0.486969:0.239904:0.486969:0.223406:0.476161:0.223406:0.000000
, ,:@0.524054:0.239904:0.520703:0.240097:0.520703:0.223600:0.524054:0.223406:0.000000:0.000000:0.000000
4 4:@0.529776:0.230592:0.532089:0.231263:0.532089:0.214765:0.529776:0.214094:0.000000:0.000000:0.000000
4 4:@0.549870:0.250907:0.551206:0.251452:0.551206:0.234954:0.549870:0.234409:0.000000:0.000000:0.000000
. , si  <0,:@0.599497:0.239904:0.644285:0.240097:0.644285:0.223600:0.599497:0.223406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.580654:0.222556:0.585571:0.222556:0.585571:0.213008:0.580654:0.213008:0.000000
():@0.448781:0.242839:0.473787:0.242839:0.473787:0.220860:0.448781:0.220860:0.000000:0.000000
−∞:@0.498515:0.240540:0.522674:0.240540:0.522674:0.224259:0.498515:0.224259:0.000000:0.000000
−:@0.557833:0.231228:0.568410:0.231228:0.568410:0.214948:0.557833:0.214948:0.000000
Recf:@0.424177:0.240019:0.463747:0.240019:0.463747:0.223551:0.424177:0.223551:0.000000:0.000000:0.000000:0.000000
ac b:@0.538930:0.230708:0.580389:0.230708:0.580389:0.214239:0.538930:0.214239:0.000000:0.000000:0.000000:0.000000
a:@0.559024:0.251023:0.568002:0.251023:0.568002:0.234554:0.559024:0.234554:0.000000
Re:@0.401519:0.263633:0.419224:0.263633:0.419224:0.247135:0.401519:0.247135:0.000000:0.000000
c f:@0.420881:0.263748:0.441456:0.263748:0.441456:0.247280:0.420881:0.247280:0.000000:0.000000:0.000000
( ):@0.426909:0.267302:0.451068:0.267302:0.451068:0.245811:0.426909:0.245811:0.000000:0.000000:0.000000
=:@0.453765:0.263633:0.464572:0.263633:0.464572:0.247135:0.453765:0.247135:0.000000
ac b:@0.532763:0.231379:0.572604:0.231373:0.572604:0.214904:0.532763:0.214910:0.000000:0.000000:0.000000:0.000000
2:@0.572864:0.223220:0.577782:0.223220:0.577782:0.213672:0.572864:0.213672:0.000000
a:@0.551880:0.251568:0.560858:0.251568:0.560858:0.235099:0.551880:0.235099:0.000000
a:@0.609666:0.240213:0.618643:0.240213:0.618643:0.223744:0.609666:0.223744:0.000000
4:@0.499661:0.278327:0.508157:0.278327:0.508157:0.261829:0.499661:0.261829:0.000000
ac b:@0.508831:0.278443:0.548672:0.278443:0.548672:0.261974:0.508831:0.261974:0.000000:0.000000:0.000000:0.000000
2:@0.548940:0.270291:0.553858:0.270291:0.553858:0.260742:0.548940:0.260742:0.000000
4:@0.518786:0.298523:0.527282:0.298523:0.527282:0.282025:0.518786:0.282025:0.000000
a:@0.527956:0.298639:0.536934:0.298639:0.536934:0.282170:0.527956:0.282170:0.000000
,:@0.559455:0.287173:0.562210:0.287173:0.562210:0.270675:0.559455:0.270675:0.000000
, si  >0.:@0.584800:0.287167:0.639417:0.287167:0.639417:0.270669:0.584800:0.270669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.604798:0.287283:0.613775:0.287283:0.613775:0.270814:0.604798:0.270814:0.000000
.:@0.589065:0.239904:0.591820:0.239904:0.591820:0.223406:0.589065:0.223406:0.000000
En conclusión, Re:@0.108224:0.302728:0.233964:0.303146:0.233964:0.286648:0.108224:0.286230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c f:@0.235621:0.303262:0.256196:0.303262:0.256196:0.286793:0.235621:0.286793:0.000000:0.000000:0.000000
( ):@0.241649:0.306815:0.265808:0.306815:0.265808:0.285324:0.241649:0.285324:0.000000:0.000000:0.000000
=:@0.268507:0.303146:0.279314:0.303146:0.279314:0.286648:0.268507:0.286648:0.000000
,:@0.332688:0.279611:0.335443:0.279611:0.335443:0.263113:0.332688:0.263113:0.000000
4:@0.338333:0.270776:0.346829:0.270776:0.346829:0.254278:0.338333:0.254278:0.000000
ac b:@0.347503:0.270892:0.387344:0.270886:0.387344:0.254417:0.347503:0.254423:0.000000:0.000000:0.000000:0.000000
2:@0.387604:0.262734:0.392522:0.262734:0.392522:0.253185:0.387604:0.253185:0.000000
4:@0.357450:0.290965:0.365946:0.290965:0.365946:0.274468:0.357450:0.274468:0.000000
a:@0.366620:0.291081:0.375598:0.291081:0.375598:0.274612:0.366620:0.274612:0.000000
, si  <0,:@0.404410:0.279611:0.459027:0.279611:0.459027:0.263113:0.404410:0.263113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.424408:0.279726:0.433385:0.279726:0.433385:0.263257:0.424408:0.263257:0.000000
4:@0.314403:0.317840:0.322899:0.317840:0.322899:0.301342:0.314403:0.301342:0.000000
ac b:@0.323573:0.317956:0.363420:0.317956:0.363420:0.301487:0.323573:0.301487:0.000000:0.000000:0.000000:0.000000
2:@0.363680:0.309804:0.368598:0.309804:0.368598:0.300256:0.363680:0.300256:0.000000
4:@0.333526:0.338036:0.342022:0.338036:0.342022:0.321538:0.333526:0.321538:0.000000
a:@0.342696:0.338152:0.351674:0.338152:0.351674:0.321683:0.342696:0.321683:0.000000
,:@0.374202:0.326680:0.376957:0.326680:0.376957:0.310182:0.374202:0.310182:0.000000
, si  >0.:@0.399540:0.326680:0.454157:0.326680:0.454157:0.310182:0.399540:0.310182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419538:0.326796:0.428515:0.326796:0.428515:0.310327:0.419538:0.310327:0.000000
En un capítulo posterior se estudiarán las cónicas. Allí se verá que la :@0.108233:0.369039:0.599902:0.369039:0.599902:0.352541:0.108233:0.352541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de la función cuadrática representa a una parábola que se abre :@0.108233:0.386389:0.599840:0.386389:0.599840:0.369892:0.108233:0.369892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba, si   > 0, y hacia abajo, si   < 0. El punto :@0.108233:0.410753:0.484098:0.410753:0.484098:0.394255:0.108233:0.394255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.215463:0.410868:0.228583:0.410868:0.228583:0.394400:0.215463:0.394400:0.000000:0.000000
a :@0.375808:0.410868:0.388928:0.410868:0.388928:0.394400:0.375808:0.394400:0.000000:0.000000
2:@0.501281:0.422963:0.509777:0.422963:0.509777:0.406465:0.501281:0.406465:0.000000
,:@0.522902:0.411962:0.525657:0.411962:0.525657:0.395464:0.522902:0.395464:0.000000
4:@0.528604:0.402650:0.537100:0.402650:0.537100:0.386152:0.528604:0.386152:0.000000
4:@0.548711:0.422963:0.557207:0.422963:0.557207:0.406465:0.548711:0.406465:0.000000
2:@0.579493:0.394614:0.584411:0.394614:0.584411:0.385066:0.579493:0.385066:0.000000
−:@0.487564:0.412598:0.498141:0.412598:0.498141:0.396317:0.487564:0.396317:0.000000
−:@0.556668:0.403286:0.567245:0.403286:0.567245:0.387005:0.556668:0.387005:0.000000
b:@0.505634:0.402766:0.514901:0.402766:0.514901:0.386297:0.505634:0.386297:0.000000
a:@0.510441:0.423079:0.519419:0.423079:0.519419:0.406610:0.510441:0.406610:0.000000
ac b:@0.537770:0.402766:0.579228:0.402766:0.579228:0.386297:0.537770:0.386297:0.000000:0.000000:0.000000:0.000000
a:@0.557872:0.423079:0.566850:0.423079:0.566850:0.406610:0.557872:0.406610:0.000000
se llama vértice de la parábola.:@0.108233:0.428104:0.324039:0.428104:0.324039:0.411606:0.108233:0.411606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Máximos y mínimos de las funciones cuadráticas:@0.108233:0.471332:0.498422:0.471332:0.498422:0.453649:0.108233:0.453649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mínimo de la función cuadrática:@0.108233:0.495630:0.358889:0.495630:0.358889:0.478684:0.108233:0.478684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  > 0. Puesto que para todo :@0.108233:0.531589:0.341227:0.531589:0.341227:0.515092:0.108233:0.515092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.136958:0.531705:0.150077:0.531705:0.150077:0.515236:0.136958:0.515236:0.000000:0.000000
x:@0.341689:0.531705:0.349164:0.531705:0.349164:0.515236:0.341689:0.515236:0.000000
  :@0.349164:0.531372:0.375386:0.531372:0.375386:0.516726:0.349164:0.516726:0.000000:0.000000:0.000000
R:@0.375963:0.530620:0.389873:0.530620:0.389873:0.517173:0.375963:0.517173:0.000000
,  ():@0.389873:0.531589:0.431034:0.530333:0.431034:0.513835:0.389873:0.515091:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.449837:0.521021:0.458333:0.521021:0.458333:0.504523:0.449837:0.504523:0.000000
4:@0.469949:0.541334:0.478445:0.541334:0.478445:0.524836:0.469949:0.524836:0.000000
,  el número :@0.511621:0.530333:0.599902:0.531590:0.599902:0.515092:0.511621:0.513835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.500732:0.512985:0.505649:0.512985:0.505649:0.503437:0.500732:0.503437:0.000000
≥:@0.434298:0.530969:0.444875:0.530969:0.444875:0.514688:0.434298:0.514688:0.000000
−:@0.477915:0.521657:0.488492:0.521657:0.488492:0.505377:0.477915:0.505377:0.000000
fx:@0.403358:0.530448:0.424646:0.530448:0.424646:0.513980:0.403358:0.513980:0.000000:0.000000
ac b:@0.459016:0.521137:0.500475:0.521137:0.500475:0.504668:0.459016:0.504668:0.000000:0.000000:0.000000:0.000000
a:@0.479111:0.541450:0.488089:0.541450:0.488089:0.524981:0.479111:0.524981:0.000000
real :@0.108233:0.559626:0.137401:0.559626:0.137401:0.543128:0.108233:0.543128:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.157609:0.559628:0.168417:0.559628:0.168417:0.543130:0.157609:0.543130:0.000000
4:@0.172790:0.550316:0.181286:0.550316:0.181286:0.533819:0.172790:0.533819:0.000000
4:@0.192893:0.570629:0.201389:0.570629:0.201389:0.554132:0.192893:0.554132:0.000000
2:@0.223675:0.542281:0.228593:0.542281:0.228593:0.532732:0.223675:0.532732:0.000000
−:@0.200850:0.550952:0.211427:0.550952:0.211427:0.534672:0.200850:0.534672:0.000000
m:@0.140377:0.559743:0.155172:0.559743:0.155172:0.543275:0.140377:0.543275:0.000000
ac b:@0.181951:0.550432:0.223410:0.550432:0.223410:0.533963:0.181951:0.533963:0.000000:0.000000:0.000000:0.000000
a:@0.202055:0.570745:0.211032:0.570745:0.211032:0.554276:0.202055:0.554276:0.000000
 se llama :@0.236240:0.559628:0.301241:0.559628:0.301241:0.543130:0.236240:0.543130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo global :@0.301241:0.560091:0.417177:0.560091:0.417177:0.543145:0.301241:0.543145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función cuadrática.:@0.417177:0.559628:0.591427:0.559628:0.591427:0.543130:0.417177:0.543130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribiremos: :@0.108241:0.589384:0.205550:0.589384:0.205550:0.572887:0.108241:0.572887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.284401:0.618062:0.294978:0.618062:0.294978:0.601781:0.284401:0.601781:0.000000
−:@0.327286:0.609184:0.337862:0.609184:0.337862:0.592904:0.327286:0.592904:0.000000
=:@0.360692:0.618062:0.371268:0.618062:0.371268:0.601781:0.360692:0.601781:0.000000
∈:@0.409991:0.620013:0.417941:0.620013:0.417941:0.610590:0.409991:0.610590:0.000000
4:@0.299634:0.608546:0.308130:0.608546:0.308130:0.592048:0.299634:0.592048:0.000000
4:@0.319005:0.628820:0.327501:0.628820:0.327501:0.612322:0.319005:0.612322:0.000000
mín:@0.373969:0.617426:0.404485:0.617426:0.404485:0.600928:0.373969:0.600928:0.000000:0.000000:0.000000
( ),:@0.440145:0.617426:0.463109:0.617426:0.463109:0.600928:0.440145:0.600928:0.000000:0.000000:0.000000:0.000000
2:@0.349317:0.600510:0.354234:0.600510:0.354234:0.590961:0.349317:0.590961:0.000000
m:@0.267125:0.617542:0.281920:0.617542:0.281920:0.601073:0.267125:0.601073:0.000000
ac b:@0.308795:0.608664:0.349060:0.608664:0.349060:0.592195:0.308795:0.592195:0.000000:0.000000:0.000000:0.000000
a:@0.328167:0.628935:0.337145:0.628935:0.337145:0.612467:0.328167:0.612467:0.000000
fx:@0.433028:0.617542:0.454316:0.617542:0.454316:0.601073:0.433028:0.601073:0.000000:0.000000
x:@0.405019:0.619712:0.409345:0.619712:0.409345:0.610180:0.405019:0.610180:0.000000
 :@0.373762:0.617426:0.377904:0.617426:0.377904:0.600928:0.373762:0.600928:0.000000
mín f (x:@0.377904:0.617542:0.431153:0.617542:0.431153:0.601073:0.377904:0.601073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
),:@0.431153:0.617426:0.439861:0.617426:0.439861:0.600928:0.431153:0.600928:0.000000:0.000000
que se lee \  es el mínimo de la función   en todo  \.:@0.108229:0.654311:0.489296:0.654310:0.489296:0.637812:0.108229:0.637813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.187349:0.654426:0.202145:0.654426:0.202145:0.637958:0.187349:0.637958:0.000000
f:@0.398321:0.654426:0.402617:0.654426:0.402617:0.637958:0.398321:0.637958:0.000000
R:@0.467719:0.653341:0.481629:0.653341:0.481629:0.639895:0.467719:0.639895:0.000000
Máximo de la función cuadrática:@0.108230:0.703731:0.361350:0.703731:0.361350:0.686785:0.108230:0.686785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  < 0.  Como para todo :@0.108230:0.738432:0.310571:0.738432:0.310571:0.721935:0.108230:0.721935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.136877:0.738548:0.149997:0.738548:0.149997:0.722079:0.136877:0.722079:0.000000:0.000000
x:@0.310956:0.738548:0.318431:0.738548:0.318431:0.722079:0.310956:0.722079:0.000000
 :@0.318417:0.741109:0.320622:0.741109:0.320622:0.732327:0.318417:0.732327:0.000000
 :@0.320824:0.738219:0.341689:0.738219:0.341689:0.723572:0.320824:0.723572:0.000000:0.000000
R:@0.342132:0.737467:0.356041:0.737467:0.356041:0.724021:0.342132:0.724021:0.000000
,  ():@0.356041:0.738436:0.397126:0.738436:0.397126:0.721938:0.356041:0.721938:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.415929:0.729125:0.424424:0.729125:0.424424:0.712627:0.415929:0.712627:0.000000
4:@0.436041:0.749438:0.444537:0.749438:0.444537:0.732940:0.436041:0.732940:0.000000
,   el número real :@0.477712:0.738436:0.599916:0.738436:0.599916:0.721938:0.477712:0.721938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.466823:0.721089:0.471741:0.721089:0.471741:0.711540:0.466823:0.711540:0.000000
≤:@0.400388:0.739072:0.410965:0.739072:0.410965:0.722792:0.400388:0.722792:0.000000
−:@0.444005:0.729761:0.454581:0.729761:0.454581:0.713480:0.444005:0.713480:0.000000
fx:@0.369448:0.738552:0.390736:0.738552:0.390736:0.722083:0.369448:0.722083:0.000000:0.000000
ac b:@0.425105:0.729240:0.466564:0.729240:0.466564:0.712771:0.425105:0.712771:0.000000:0.000000:0.000000:0.000000
a:@0.445201:0.749553:0.454178:0.749553:0.454178:0.733084:0.445201:0.733084:0.000000
 :@0.595774:0.738436:0.599916:0.738436:0.599916:0.721938:0.595774:0.721938:0.000000
=:@0.128440:0.766474:0.139248:0.766474:0.139248:0.749976:0.128440:0.749976:0.000000
4:@0.143621:0.757162:0.152117:0.757162:0.152117:0.740665:0.143621:0.740665:0.000000
4:@0.163725:0.777475:0.172221:0.777475:0.172221:0.760978:0.163725:0.760978:0.000000
2:@0.194508:0.749127:0.199425:0.749127:0.199425:0.739578:0.194508:0.739578:0.000000
−:@0.171683:0.757799:0.182259:0.757799:0.182259:0.741518:0.171683:0.741518:0.000000
M:@0.111209:0.766590:0.126486:0.766590:0.126486:0.750121:0.111209:0.750121:0.000000
ac b:@0.152784:0.757278:0.194242:0.757278:0.194242:0.740809:0.152784:0.740809:0.000000:0.000000:0.000000:0.000000
a:@0.172887:0.777591:0.181865:0.777591:0.181865:0.761122:0.172887:0.761122:0.000000
se llama :@0.207072:0.766474:0.267931:0.766474:0.267931:0.749976:0.207072:0.749976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máximo global :@0.267931:0.766937:0.386139:0.766937:0.386139:0.749991:0.267931:0.749991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función cuadrática. :@0.386139:0.766474:0.564531:0.766474:0.564531:0.749976:0.386139:0.749976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribiremos::@0.108241:0.798081:0.201406:0.798081:0.201406:0.781584:0.108241:0.781584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.325389:0.817875:0.335966:0.817875:0.335966:0.801594:0.325389:0.801594:0.000000
∈:@0.408784:0.828706:0.416735:0.828706:0.416735:0.819283:0.408784:0.819283:0.000000
=:@0.282513:0.826119:0.293321:0.826119:0.293321:0.809621:0.282513:0.809621:0.000000
4:@0.297752:0.817241:0.306248:0.817241:0.306248:0.800744:0.297752:0.800744:0.000000
4:@0.317117:0.837513:0.325613:0.837513:0.325613:0.821015:0.317117:0.821015:0.000000
=máx  ( ),:@0.358788:0.826119:0.441750:0.826119:0.441750:0.809621:0.358788:0.809621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(),:@0.436311:0.826119:0.459275:0.826119:0.459275:0.809621:0.436311:0.809621:0.000000:0.000000:0.000000
2:@0.347429:0.809203:0.352346:0.809203:0.352346:0.799654:0.347429:0.799654:0.000000
M:@0.265238:0.826235:0.280516:0.826235:0.280516:0.809766:0.265238:0.809766:0.000000
ac b:@0.306909:0.817357:0.347173:0.817357:0.347173:0.800888:0.306909:0.800888:0.000000:0.000000:0.000000:0.000000
a:@0.326279:0.837628:0.335257:0.837628:0.335257:0.821160:0.326279:0.821160:0.000000
fx:@0.429194:0.826235:0.450482:0.826235:0.450482:0.809766:0.429194:0.809766:0.000000:0.000000
x:@0.403811:0.828405:0.408137:0.828405:0.408137:0.818873:0.403811:0.818873:0.000000
 :@0.371663:0.826119:0.375805:0.826119:0.375805:0.809621:0.371663:0.809621:0.000000
máx f x:@0.375805:0.826235:0.433042:0.826235:0.433042:0.809766:0.375805:0.809766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se lee “  es el máximo de la función   en todo  \.:@0.108230:0.857726:0.492975:0.857726:0.492975:0.841229:0.108230:0.841229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.188103:0.857842:0.203381:0.857842:0.203381:0.841373:0.188103:0.841373:0.000000
f:@0.402002:0.857842:0.406298:0.857842:0.406298:0.841373:0.402002:0.841373:0.000000
R:@0.471398:0.856758:0.485308:0.856758:0.485308:0.843311:0.471398:0.843311:0.000000
Nótese que:   :@0.108229:0.891589:0.205671:0.891589:0.205671:0.875092:0.108229:0.875092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f ff f:@0.197232:0.891705:0.192637:0.893649:0.192637:0.877180:0.197232:0.875236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 2:@0.225676:0.904003:0.229027:0.904534:0.229027:0.888037:0.225676:0.887505:0.000000:0.000000:0.000000:0.000000:0.000000
= = =:@0.257872:0.893001:0.263531:0.893531:0.263531:0.877033:0.257872:0.876503:0.000000:0.000000:0.000000:0.000000:0.000000
4 4 4:@0.273053:0.883690:0.276400:0.884220:0.276400:0.867722:0.273053:0.867192:0.000000:0.000000:0.000000:0.000000:0.000000
4 4 4:@0.293147:0.904004:0.296494:0.904534:0.296494:0.888037:0.293147:0.887507:0.000000:0.000000:0.000000:0.000000:0.000000
= = =:@0.335492:0.893001:0.341151:0.893531:0.341151:0.877033:0.335492:0.876503:0.000000:0.000000:0.000000:0.000000:0.000000
,si>0, 0, 0,:@0.385061:0.881998:0.433210:0.882532:0.433210:0.866034:0.385061:0.865500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,si<0. 0. 0.:@0.385061:0.904351:0.433210:0.904885:0.433210:0.888388:0.385061:0.887854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2:@0.323939:0.875653:0.330769:0.875830:0.330769:0.866281:0.323939:0.866104:0.000000:0.000000:0.000000
− − −:@0.211959:0.893637:0.217393:0.894169:0.217393:0.877888:0.211959:0.877357:0.000000:0.000000:0.000000:0.000000:0.000000
− − −:@0.301118:0.884326:0.306552:0.884858:0.306552:0.868577:0.301118:0.868045:0.000000:0.000000:0.000000:0.000000:0.000000
b b b:@0.230021:0.883805:0.234153:0.884337:0.234153:0.867868:0.230021:0.867337:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.234838:0.904120:0.238681:0.904652:0.238681:0.888183:0.234838:0.887651:0.000000:0.000000:0.000000:0.000000:0.000000
ac b b b:@0.282215:0.883805:0.318535:0.884337:0.318535:0.867868:0.282215:0.867337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a a:@0.302309:0.904120:0.306148:0.904652:0.306148:0.888183:0.302309:0.887651:0.000000:0.000000:0.000000:0.000000:0.000000
ma:@0.369583:0.882114:0.412487:0.882114:0.412487:0.865645:0.369583:0.865645:0.000000:0.000000
Ma:@0.369583:0.904467:0.412487:0.904467:0.412487:0.887998:0.369583:0.887998:0.000000:0.000000
,si>:@0.386992:0.882174:0.427064:0.882174:0.427064:0.865676:0.386992:0.865676:0.000000:0.000000:0.000000:0.000000
,si<:@0.386992:0.904527:0.427064:0.904527:0.427064:0.888030:0.386992:0.888030:0.000000:0.000000:0.000000:0.000000
ac:@0.284128:0.883981:0.300099:0.883981:0.300099:0.867513:0.284128:0.867513:0.000000:0.000000
ma:@0.371502:0.882291:0.414406:0.882291:0.414406:0.865823:0.371502:0.865823:0.000000:0.000000
Ma:@0.371502:0.904645:0.414406:0.904645:0.414406:0.888176:0.371502:0.888176:0.000000:0.000000
,si>:@0.379942:0.882532:0.420014:0.882532:0.420014:0.866034:0.379942:0.866034:0.000000:0.000000:0.000000:0.000000
,si<:@0.379942:0.904885:0.420014:0.904885:0.420014:0.888388:0.379942:0.888388:0.000000:0.000000:0.000000:0.000000
2:@0.318796:0.876186:0.323713:0.876186:0.323713:0.866637:0.318796:0.866637:0.000000
ac:@0.277076:0.884337:0.293047:0.884337:0.293047:0.867868:0.277076:0.867868:0.000000:0.000000
ma:@0.364446:0.882647:0.407350:0.882647:0.407350:0.866179:0.364446:0.866179:0.000000:0.000000
Ma:@0.364446:0.905001:0.407350:0.905001:0.407350:0.888532:0.364446:0.888532:0.000000:0.000000
x:@0.377958:0.630350:0.383938:0.630350:0.383938:0.617175:0.377958:0.617175:0.000000
:@0.383938:0.630084:0.396777:0.630084:0.396777:0.618366:0.383938:0.618366:0.000000
R:@0.396776:0.629482:0.407904:0.629482:0.407904:0.618725:0.396776:0.618725:0.000000
x:@0.377002:0.839611:0.382982:0.839611:0.382982:0.826436:0.377002:0.826436:0.000000
:@0.382982:0.839345:0.395820:0.839345:0.395820:0.827628:0.382982:0.827628:0.000000
R:@0.395820:0.838744:0.406947:0.838744:0.406947:0.827986:0.395820:0.827986:0.000000
• El mínimo global de la :@0.685308:0.490843:0.841893:0.490843:0.841893:0.475780:0.685308:0.475780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función cuadrática es el mínimo :@0.638765:0.506685:0.850703:0.506685:0.850703:0.491622:0.638765:0.491622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función que se representa :@0.638765:0.522527:0.844758:0.522527:0.844758:0.507464:0.638765:0.507464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.638765:0.538369:0.679433:0.538369:0.679433:0.523306:0.638765:0.523306:0.000000:0.000000:0.000000:0.000000:0.000000
m  mín f x:@0.638765:0.554317:0.718799:0.554317:0.718799:0.539280:0.638765:0.539280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =:@0.652274:0.554211:0.665924:0.554211:0.665924:0.539148:0.652274:0.539148:0.000000:0.000000
 ( ):@0.702757:0.554211:0.724235:0.554211:0.724235:0.539148:0.702757:0.539148:0.000000:0.000000:0.000000:0.000000
 :@0.638765:0.577182:0.642547:0.577182:0.642547:0.562119:0.638765:0.562119:0.000000
 :@0.689798:0.577181:0.693579:0.577181:0.693579:0.562118:0.689798:0.562118:0.000000
≤:@0.711926:0.578331:0.721659:0.578331:0.721659:0.563349:0.711926:0.563349:0.000000
∀ ∈:@0.756832:0.578331:0.792342:0.578331:0.792342:0.563349:0.756832:0.563349:0.000000:0.000000:0.000000
∈:@0.704121:0.559300:0.711437:0.559300:0.711437:0.550628:0.704121:0.550628:0.000000
fx:@0.720982:0.557026:0.740572:0.557026:0.740572:0.541871:0.720982:0.541871:0.000000:0.000000
m:@0.695648:0.577849:0.709264:0.577849:0.709264:0.562694:0.695648:0.562694:0.000000
f x:@0.727790:0.577849:0.747380:0.577849:0.747380:0.562694:0.727790:0.562694:0.000000:0.000000:0.000000
x:@0.769363:0.577849:0.776242:0.577849:0.776242:0.562694:0.769363:0.562694:0.000000
x:@0.699737:0.559022:0.703718:0.559022:0.703718:0.550251:0.699737:0.550251:0.000000
mín:@0.673434:0.556920:0.699264:0.556920:0.699264:0.541738:0.673434:0.541738:0.000000:0.000000:0.000000
( ):@0.727541:0.556920:0.746457:0.556920:0.746457:0.541738:0.727541:0.541738:0.000000:0.000000:0.000000
(),:@0.734331:0.577743:0.755463:0.577743:0.755463:0.562561:0.734331:0.562561:0.000000:0.000000:0.000000
.:@0.805835:0.577181:0.808350:0.577181:0.808350:0.562118:0.805835:0.562118:0.000000
• Si  < 0, y la función cuadrá-:@0.638765:0.600152:0.830389:0.600152:0.830389:0.585089:0.638765:0.585089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.661984:0.600257:0.673962:0.600257:0.673962:0.585221:0.661984:0.585221:0.000000:0.000000
tica   no tiene mínimo global, :@0.638765:0.615994:0.832535:0.615994:0.832535:0.600931:0.638765:0.600931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.666135:0.616099:0.670057:0.616099:0.670057:0.601063:0.666135:0.601063:0.000000
escribiremos::@0.638765:0.631836:0.723301:0.631836:0.723301:0.616773:0.638765:0.616773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mín f x:@0.638765:0.654912:0.687858:0.654912:0.687858:0.639876:0.638765:0.639876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) = – ∞, o simple mente,:@0.671816:0.654807:0.842528:0.654807:0.842528:0.639744:0.671816:0.639744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mín f x:@0.638766:0.677883:0.687859:0.677883:0.687859:0.662847:0.638766:0.662847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) no existe.:@0.671817:0.677778:0.757357:0.677778:0.757357:0.662715:0.671817:0.662715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• El máximo global de la fun-:@0.638766:0.707877:0.824601:0.707877:0.824601:0.692814:0.638766:0.692814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción cuadrática es el máximo :@0.638766:0.723719:0.831304:0.723719:0.831304:0.708656:0.638766:0.708656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función que se representa :@0.638766:0.739561:0.844759:0.739561:0.844759:0.724498:0.638766:0.724498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.638766:0.755403:0.679434:0.755403:0.679434:0.740340:0.638766:0.740340:0.000000:0.000000:0.000000:0.000000:0.000000
M máx f  x:@0.638766:0.771351:0.722406:0.771351:0.722406:0.756314:0.638766:0.756314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.652714:0.771245:0.670146:0.771245:0.670146:0.756182:0.652714:0.756182:0.000000:0.000000:0.000000
( ) :@0.710146:0.771245:0.731623:0.771245:0.731623:0.756182:0.710146:0.756182:0.000000:0.000000:0.000000:0.000000
 :@0.638765:0.794216:0.642547:0.794216:0.642547:0.779153:0.638765:0.779153:0.000000
 :@0.689798:0.794211:0.693579:0.794211:0.693579:0.779148:0.689798:0.779148:0.000000
≤:@0.727613:0.796162:0.737132:0.796162:0.737132:0.781509:0.727613:0.781509:0.000000
∀ ∈:@0.759707:0.796162:0.794818:0.796162:0.794818:0.781509:0.759707:0.781509:0.000000:0.000000:0.000000
∈:@0.706411:0.777549:0.713566:0.777549:0.713566:0.769068:0.706411:0.769068:0.000000
máx:@0.673382:0.775221:0.700742:0.775221:0.700742:0.760373:0.673382:0.760373:0.000000:0.000000:0.000000
( ):@0.731189:0.775221:0.749690:0.775221:0.749690:0.760373:0.731189:0.760373:0.000000:0.000000:0.000000
():@0.706499:0.795586:0.724999:0.795586:0.724999:0.780738:0.706499:0.780738:0.000000:0.000000
,:@0.753903:0.795586:0.756382:0.795586:0.756382:0.780738:0.753903:0.780738:0.000000
fx:@0.724791:0.775325:0.743951:0.775325:0.743951:0.760503:0.724791:0.760503:0.000000:0.000000
fx:@0.700101:0.795690:0.719260:0.795690:0.719260:0.780868:0.700101:0.780868:0.000000:0.000000
M:@0.739963:0.795690:0.753712:0.795690:0.753712:0.780868:0.739963:0.780868:0.000000
x:@0.771952:0.795690:0.778680:0.795690:0.778680:0.780868:0.771952:0.780868:0.000000
x:@0.701935:0.777278:0.705829:0.777278:0.705829:0.768699:0.701935:0.768699:0.000000
.:@0.811185:0.795469:0.813701:0.795469:0.813701:0.780405:0.811185:0.780405:0.000000
• Si  > 0, y la función cuadrá-:@0.638768:0.824314:0.830392:0.824314:0.830392:0.809251:0.638768:0.809251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a :@0.661987:0.824420:0.673966:0.824420:0.673966:0.809383:0.661987:0.809383:0.000000:0.000000
tica   no tiene máximo global, :@0.638768:0.840156:0.834770:0.840156:0.834770:0.825093:0.638768:0.825093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.666136:0.840262:0.670059:0.840262:0.670059:0.825225:0.666136:0.825225:0.000000
escribiremos::@0.638768:0.855998:0.723304:0.855998:0.723304:0.840935:0.638768:0.840935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máx f  x:@0.638768:0.871946:0.691028:0.871946:0.691028:0.856909:0.638768:0.856909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ∞, o simple mente,:@0.678768:0.871840:0.832328:0.871840:0.832328:0.856776:0.678768:0.856777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máx f x:@0.638767:0.894916:0.691027:0.894916:0.691027:0.879879:0.638767:0.879879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( ) no existe.:@0.674985:0.894810:0.760525:0.894810:0.760525:0.879747:0.674985:0.879747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.671584:0.563340:0.676368:0.563340:0.676368:0.552800:0.671584:0.552800:0.000000
:@0.676368:0.563127:0.686639:0.563127:0.686639:0.553753:0.676368:0.553753:0.000000
R:@0.686640:0.562646:0.695542:0.562646:0.695542:0.554040:0.686640:0.554040:0.000000
x:@0.640834:0.662947:0.645618:0.662947:0.645618:0.652407:0.640834:0.652407:0.000000
:@0.645617:0.662734:0.655888:0.662734:0.655888:0.653360:0.645617:0.653360:0.000000
R:@0.655889:0.662253:0.664791:0.662253:0.664791:0.653647:0.655889:0.653647:0.000000
x:@0.640834:0.685045:0.645618:0.685045:0.645618:0.674505:0.640834:0.674505:0.000000
:@0.645617:0.684832:0.655888:0.684832:0.655888:0.675458:0.645617:0.675458:0.000000
R:@0.655889:0.684351:0.664791:0.684351:0.664791:0.675745:0.655889:0.675745:0.000000
x:@0.672176:0.780015:0.676960:0.780015:0.676960:0.769475:0.672176:0.769475:0.000000
:@0.676960:0.779802:0.687230:0.779802:0.687230:0.770428:0.676960:0.770428:0.000000
R:@0.687231:0.779321:0.696133:0.779321:0.696133:0.770715:0.687231:0.770715:0.000000
x:@0.642005:0.880159:0.646789:0.880159:0.646789:0.869619:0.642005:0.869619:0.000000
:@0.646788:0.879946:0.657059:0.879946:0.657059:0.870572:0.646788:0.870572:0.000000
R:@0.657060:0.879465:0.665962:0.879465:0.665962:0.870859:0.657060:0.870859:0.000000
x:@0.642005:0.903368:0.646789:0.903368:0.646789:0.892828:0.642005:0.892828:0.000000
:@0.646788:0.903155:0.657059:0.903155:0.657059:0.893781:0.646788:0.893781:0.000000
R:@0.657060:0.902674:0.665962:0.902674:0.665962:0.894068:0.657060:0.894068:0.000000
Competencia :@0.685072:0.454208:0.782695:0.454208:0.782695:0.438736:0.685072:0.438736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.685072:0.466776:0.769134:0.466776:0.769134:0.451304:0.685072:0.451304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684537:0.096006:0.782160:0.096006:0.782160:0.080533:0.684537:0.080533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684537:0.108574:0.796496:0.108574:0.796496:0.093101:0.684537:0.093101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.677964:0.133048:0.814429:0.133048:0.814429:0.117985:0.677964:0.117985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.638228:0.148890:0.793001:0.148890:0.793001:0.133827:0.638228:0.133827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.638228:0.168099:0.652880:0.168099:0.652880:0.154725:0.638228:0.154725:0.000000
: subconjunto:@0.652880:0.168297:0.742113:0.168297:0.742113:0.153234:0.652880:0.153234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠: diferente de:@0.638228:0.187703:0.731875:0.187703:0.731875:0.172640:0.638228:0.172640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.638229:0.206225:0.650929:0.206225:0.650929:0.193947:0.638229:0.193947:0.000000
: conjunto de números reales:@0.650929:0.207110:0.838384:0.207110:0.838384:0.192046:0.650929:0.192046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom( ): dominio de :@0.638229:0.226516:0.772704:0.226516:0.772704:0.211453:0.638229:0.211453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.677402:0.226622:0.681324:0.226622:0.681324:0.211585:0.677402:0.211585:0.000000
f:@0.772704:0.226622:0.776627:0.226622:0.776627:0.211585:0.772704:0.211585:0.000000
Rec( ): recorrido de :@0.638229:0.245922:0.766599:0.245922:0.766599:0.230859:0.638229:0.230859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.667270:0.246028:0.671192:0.246028:0.671192:0.230991:0.667270:0.230991:0.000000
f:@0.766599:0.246028:0.770521:0.246028:0.770521:0.230991:0.766599:0.230991:0.000000
]:@0.638693:0.268739:0.644467:0.268739:0.644467:0.249691:0.638693:0.249691:0.000000
]:@0.680392:0.268739:0.686166:0.268739:0.686166:0.249691:0.680392:0.249691:0.000000
−∞:@0.644724:0.266228:0.666466:0.266228:0.666466:0.251575:0.644724:0.251575:0.000000:0.000000
,:@0.667339:0.265655:0.669819:0.265655:0.669819:0.250808:0.667339:0.250808:0.000000
::@0.689099:0.265655:0.691579:0.265655:0.691579:0.250808:0.689099:0.250808:0.000000
p:@0.671816:0.265760:0.680155:0.265760:0.680155:0.250938:0.671816:0.250938:0.000000
 :@0.692657:0.266186:0.696439:0.266186:0.696439:0.251150:0.692657:0.251150:0.000000
intervalo cerrado a la :@0.696439:0.266081:0.836278:0.266081:0.836278:0.251018:0.696439:0.251018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha:@0.638234:0.281923:0.689841:0.281923:0.689841:0.266860:0.638234:0.266860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.638678:0.304741:0.644451:0.304741:0.644451:0.285692:0.638678:0.285692:0.000000
[:@0.670616:0.304741:0.676389:0.304741:0.676389:0.285692:0.670616:0.285692:0.000000
∞:@0.658090:0.302230:0.670453:0.302230:0.670453:0.287577:0.658090:0.287577:0.000000
,:@0.655028:0.301657:0.657507:0.301657:0.657507:0.286809:0.655028:0.286809:0.000000
::@0.679337:0.301657:0.681816:0.301657:0.681816:0.286809:0.679337:0.286809:0.000000
p:@0.645745:0.301761:0.654085:0.301761:0.654085:0.286939:0.645745:0.286939:0.000000
 intervalo cerrado a :@0.682629:0.302082:0.811826:0.302082:0.811826:0.287019:0.682629:0.287019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda:@0.638232:0.317924:0.696981:0.317924:0.696981:0.302861:0.638232:0.302861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000