41:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
1. :@0.119958:0.171686:0.138698:0.171686:0.138698:0.154550:0.119958:0.154550:0.000000:0.000000:0.000000
Descompón:@0.153201:0.171686:0.246537:0.171686:0.246537:0.155062:0.153201:0.155062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en fracciones parciales::@0.246537:0.171686:0.418999:0.171686:0.418999:0.155297:0.246537:0.155297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153201:0.204782:0.171923:0.204782:0.171923:0.187881:0.153201:0.187881:0.000000:0.000000:0.000000
+:@0.223034:0.196364:0.233151:0.196364:0.233151:0.180791:0.223034:0.180791:0.000000
5:@0.235178:0.195686:0.244170:0.195686:0.244170:0.179297:0.235178:0.179297:0.000000
–2 –3:@0.210625:0.215134:0.264692:0.215134:0.264692:0.198745:0.210625:0.198745:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.201098:0.207473:0.206310:0.207473:0.206310:0.197975:0.201098:0.197975:0.000000
x:@0.212458:0.195686:0.219921:0.195686:0.219921:0.179325:0.212458:0.179325:0.000000
x:@0.191988:0.215134:0.199452:0.215134:0.199452:0.198773:0.191988:0.198773:0.000000
x:@0.232621:0.215134:0.240084:0.215134:0.240084:0.198773:0.232621:0.198773:0.000000
 :@0.153198:0.361590:0.157013:0.361590:0.157013:0.344689:0.153198:0.344689:0.000000
b) :@0.153198:0.399833:0.173229:0.399833:0.173229:0.382932:0.153198:0.382932:0.000000:0.000000:0.000000
+:@0.209840:0.409739:0.219956:0.409739:0.219956:0.394166:0.209840:0.394166:0.000000
8–1:@0.203976:0.389612:0.245531:0.389612:0.245531:0.373224:0.203976:0.373224:0.000000:0.000000:0.000000
–6:@0.234812:0.409062:0.255894:0.409062:0.255894:0.392673:0.234812:0.392673:0.000000:0.000000
2:@0.201098:0.401401:0.206310:0.401401:0.206310:0.391902:0.201098:0.391902:0.000000
x:@0.214604:0.389612:0.222067:0.389612:0.222067:0.373251:0.214604:0.373251:0.000000
x:@0.191988:0.409062:0.199452:0.409062:0.199452:0.392700:0.191988:0.392700:0.000000
x:@0.223444:0.409062:0.230908:0.409062:0.230908:0.392700:0.223444:0.392700:0.000000
 :@0.153198:0.556642:0.157013:0.556642:0.157013:0.539742:0.153198:0.539742:0.000000
c) :@0.153198:0.593098:0.170833:0.593098:0.170833:0.576197:0.153198:0.576197:0.000000:0.000000:0.000000
–29:@0.219578:0.584665:0.249099:0.584665:0.249099:0.568276:0.219578:0.568276:0.000000:0.000000:0.000000
–3 –4:@0.210625:0.604114:0.265005:0.604114:0.265005:0.587725:0.210625:0.587725:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.201098:0.596452:0.206310:0.596452:0.206310:0.586954:0.201098:0.586954:0.000000
x:@0.208218:0.584665:0.215681:0.584665:0.215681:0.568304:0.208218:0.568304:0.000000
x:@0.191988:0.604114:0.199452:0.604114:0.199452:0.587753:0.191988:0.587753:0.000000
x:@0.232197:0.604114:0.239661:0.604114:0.239661:0.587753:0.232197:0.587753:0.000000
 :@0.153198:0.749907:0.157013:0.749907:0.157013:0.733006:0.153198:0.733006:0.000000
d) :@0.153198:0.785838:0.173266:0.785838:0.173266:0.768938:0.153198:0.768938:0.000000:0.000000:0.000000
+:@0.223166:0.778899:0.233467:0.778899:0.233467:0.763043:0.223166:0.763043:0.000000
34:@0.235318:0.778209:0.253424:0.778209:0.253424:0.761522:0.235318:0.761522:0.000000:0.000000
–4 –12:@0.211021:0.798092:0.274701:0.798092:0.274701:0.781406:0.211021:0.781406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.201365:0.790290:0.206671:0.790290:0.206671:0.780619:0.201365:0.780619:0.000000
x:@0.212611:0.778209:0.220209:0.778209:0.220209:0.761550:0.212611:0.761550:0.000000
x:@0.192089:0.798091:0.199688:0.798091:0.199688:0.781432:0.192089:0.781432:0.000000
x:@0.234680:0.798091:0.242279:0.798091:0.242279:0.781432:0.234680:0.781432:0.000000
 :@0.153198:0.920194:0.157013:0.920194:0.157013:0.903293:0.153198:0.903293:0.000000
g) :@0.545667:0.511739:0.565587:0.511739:0.565587:0.494838:0.545667:0.494838:0.000000:0.000000:0.000000
+:@0.606548:0.500480:0.575682:0.500480:0.575682:0.484907:0.606548:0.484907:0.000000
+:@0.647531:0.500480:0.616665:0.500480:0.616665:0.484907:0.647531:0.484907:0.000000
19:@0.617543:0.499802:0.635325:0.499802:0.635325:0.483413:0.617543:0.483413:0.000000:0.000000
20:@0.659687:0.499802:0.677469:0.499802:0.677469:0.483413:0.659687:0.483413:0.000000:0.000000
–3:@0.602884:0.519251:0.623597:0.519251:0.623597:0.502863:0.602884:0.502863:0.000000:0.000000
–10:@0.643094:0.519251:0.671454:0.519251:0.671454:0.502863:0.643094:0.502863:0.000000:0.000000:0.000000
2:@0.597807:0.492141:0.603018:0.492141:0.603018:0.482643:0.597807:0.482643:0.000000
3:@0.593567:0.511586:0.598779:0.511586:0.598779:0.502088:0.593567:0.502088:0.000000
2:@0.633562:0.511586:0.638774:0.511586:0.638774:0.502088:0.633562:0.502088:0.000000
x:@0.588697:0.499802:0.596160:0.499802:0.596160:0.483441:0.588697:0.483441:0.000000
x:@0.636959:0.499802:0.644422:0.499802:0.644422:0.483441:0.636959:0.483441:0.000000
x:@0.584458:0.519248:0.591922:0.519248:0.591922:0.502886:0.584458:0.502886:0.000000
x:@0.624465:0.519248:0.631928:0.519248:0.631928:0.502886:0.624465:0.502886:0.000000
x:@0.673095:0.519248:0.680559:0.519248:0.680559:0.502886:0.673095:0.502886:0.000000
 :@0.545667:0.639558:0.549481:0.639558:0.549481:0.622657:0.545667:0.622657:0.000000
h) :@0.545667:0.673981:0.565568:0.673981:0.565568:0.657081:0.545667:0.657081:0.000000:0.000000:0.000000
4:@0.584405:0.664827:0.593398:0.664827:0.593398:0.648438:0.584405:0.648438:0.000000
–5–15:@0.614036:0.664827:0.675308:0.664827:0.675308:0.648438:0.614036:0.648438:0.000000:0.000000:0.000000:0.000000:0.000000
–4:@0.602884:0.684276:0.624334:0.684276:0.624334:0.667887:0.602884:0.667887:0.000000:0.000000
–5:@0.644973:0.684276:0.665686:0.684276:0.665686:0.667887:0.644973:0.667887:0.000000:0.000000
2:@0.604508:0.657166:0.609719:0.657166:0.609719:0.647668:0.604508:0.647668:0.000000
3:@0.593561:0.676611:0.598773:0.676611:0.598773:0.667113:0.593561:0.667113:0.000000
2:@0.635447:0.676611:0.640658:0.676611:0.640658:0.667113:0.635447:0.667113:0.000000
x:@0.595398:0.664827:0.602861:0.664827:0.602861:0.648466:0.595398:0.648466:0.000000
x:@0.635607:0.664827:0.643070:0.664827:0.643070:0.648466:0.635607:0.648466:0.000000
x:@0.584457:0.684276:0.591920:0.684276:0.591920:0.667915:0.584457:0.667915:0.000000
x:@0.626343:0.684276:0.633806:0.684276:0.633806:0.667915:0.626343:0.667915:0.000000
x:@0.666552:0.684276:0.674015:0.684276:0.674015:0.667915:0.666552:0.667915:0.000000
 :@0.545667:0.780603:0.549481:0.780603:0.549481:0.763702:0.545667:0.763702:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.1. Grafica funciones reales y analiza su dominio, recorrido, monotonía, ceros, extremos, paridad; identifica las funciones afines, :@0.261615:0.108245:0.882423:0.108245:0.882423:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia, raíz cuadrada, valor absoluto; reconoce si una función es inyectiva, sobreyectiva o biyectiva; realiza operaciones con :@0.261615:0.118806:0.882507:0.118806:0.882507:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones aplicando las propiedades de los números reales en problemas reales e hipotéticos. (I.4.):@0.261615:0.129367:0.719370:0.129367:0.719370:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.545667:0.179583:0.564537:0.179583:0.564537:0.162682:0.545667:0.162682:0.000000:0.000000:0.000000
5–12:@0.584509:0.168915:0.634061:0.168915:0.634061:0.152526:0.584509:0.152526:0.000000:0.000000:0.000000:0.000000
–4:@0.603094:0.188364:0.624544:0.188364:0.624544:0.171975:0.603094:0.171975:0.000000:0.000000
2:@0.593565:0.180702:0.598777:0.180702:0.598777:0.171203:0.593565:0.171203:0.000000
x:@0.594351:0.168915:0.601814:0.168915:0.601814:0.152553:0.594351:0.152553:0.000000
x:@0.584457:0.188364:0.591920:0.188364:0.591920:0.172003:0.584457:0.172003:0.000000
x:@0.626546:0.188364:0.634009:0.188364:0.634009:0.172003:0.626546:0.172003:0.000000
 :@0.545667:0.307400:0.549481:0.307400:0.549481:0.290499:0.545667:0.290499:0.000000
f) :@0.545667:0.337116:0.562491:0.337116:0.562491:0.320216:0.545667:0.320216:0.000000:0.000000:0.000000
+:@0.675652:0.352796:0.685769:0.352796:0.685769:0.337223:0.675652:0.337223:0.000000
4:@0.597125:0.332669:0.606118:0.332669:0.606118:0.316280:0.597125:0.316280:0.000000
–15 –1:@0.626757:0.332669:0.686904:0.332669:0.686904:0.316280:0.626757:0.316280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2:@0.602884:0.352118:0.623597:0.352118:0.623597:0.335730:0.602884:0.335730:0.000000:0.000000
–5:@0.643517:0.352118:0.664230:0.352118:0.664230:0.335730:0.643517:0.335730:0.000000:0.000000
6:@0.688168:0.352118:0.697160:0.352118:0.697160:0.335730:0.688168:0.335730:0.000000
2:@0.617228:0.325008:0.622440:0.325008:0.622440:0.315510:0.617228:0.315510:0.000000
3:@0.593562:0.344453:0.598773:0.344453:0.598773:0.334955:0.593562:0.334955:0.000000
2:@0.633974:0.344453:0.639185:0.344453:0.639185:0.334955:0.633974:0.334955:0.000000
x:@0.608120:0.332669:0.615583:0.332669:0.615583:0.316308:0.608120:0.316308:0.000000
x:@0.655976:0.332669:0.663439:0.332669:0.663439:0.316308:0.655976:0.316308:0.000000
x:@0.584458:0.352115:0.591922:0.352115:0.591922:0.335753:0.584458:0.335753:0.000000
x:@0.624870:0.352115:0.632333:0.352115:0.632333:0.335753:0.624870:0.335753:0.000000
x:@0.665079:0.352115:0.672543:0.352115:0.672543:0.335753:0.665079:0.335753:0.000000
 :@0.545667:0.472477:0.549481:0.472477:0.549481:0.455577:0.545667:0.455577:0.000000
i) :@0.545667:0.815200:0.559745:0.815200:0.559745:0.798299:0.545667:0.798299:0.000000:0.000000:0.000000
+:@0.612569:0.807578:0.622686:0.807578:0.622686:0.792005:0.612569:0.792005:0.000000
+:@0.602569:0.827027:0.612686:0.827027:0.612686:0.811455:0.602569:0.811455:0.000000
4:@0.583723:0.806901:0.592716:0.806901:0.592716:0.790512:0.583723:0.790512:0.000000
13–9:@0.623564:0.806901:0.674276:0.806901:0.674276:0.790512:0.623564:0.790512:0.000000:0.000000:0.000000:0.000000
2:@0.614715:0.826350:0.623708:0.826350:0.623708:0.809961:0.614715:0.809961:0.000000
–3:@0.643610:0.826350:0.664341:0.826350:0.664341:0.809961:0.643610:0.809961:0.000000:0.000000
2:@0.603826:0.799239:0.609038:0.799239:0.609038:0.789741:0.603826:0.789741:0.000000
3:@0.594033:0.818685:0.599244:0.818685:0.599244:0.809186:0.594033:0.809186:0.000000
2:@0.634081:0.818685:0.639293:0.818685:0.639293:0.809186:0.634081:0.809186:0.000000
x:@0.594718:0.806901:0.602181:0.806901:0.602181:0.790539:0.594718:0.790539:0.000000
x:@0.642206:0.806901:0.649669:0.806901:0.649669:0.790539:0.642206:0.790539:0.000000
x:@0.584933:0.826346:0.592396:0.826346:0.592396:0.809985:0.584933:0.809985:0.000000
x:@0.624976:0.826346:0.632439:0.826346:0.632439:0.809985:0.624976:0.809985:0.000000
x:@0.665185:0.826346:0.672648:0.826346:0.672648:0.809985:0.665185:0.809985:0.000000
 :@0.545667:0.923079:0.549481:0.923079:0.549481:0.906179:0.545667:0.906179:0.000000