26:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Función identidad::@0.073089:0.135942:0.220930:0.135942:0.220930:0.118995:0.073089:0.118995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.154386:0.257247:0.166931:0.257247:0.166931:0.246026:0.154386:0.246026:0.000000 2:@0.166931:0.257701:0.174281:0.257701:0.174281:0.244846:0.166931:0.244846:0.000000 2:@0.189718:0.285115:0.202263:0.285115:0.202263:0.273893:0.189718:0.273893:0.000000 2:@0.202265:0.285566:0.209614:0.285566:0.209614:0.272710:0.202265:0.272710:0.000000 4:@0.202265:0.172093:0.209614:0.172093:0.209614:0.159237:0.202265:0.159237:0.000000 2:@0.260338:0.257148:0.267687:0.257148:0.267687:0.244292:0.260338:0.244292:0.000000 4:@0.310580:0.257148:0.317929:0.257148:0.317929:0.244292:0.310580:0.244292:0.000000 6:@0.360821:0.257148:0.368171:0.257148:0.368171:0.244292:0.360821:0.244292:0.000000 2:@0.201918:0.209594:0.209268:0.209594:0.209268:0.196738:0.201918:0.196738:0.000000 y:@0.202235:0.156185:0.208861:0.156185:0.208861:0.143329:0.202235:0.143329:0.000000 x:@0.384724:0.254628:0.391185:0.254628:0.391185:0.241772:0.384724:0.241772:0.000000 0:@0.206072:0.257077:0.213421:0.257077:0.213421:0.244221:0.206072:0.244221:0.000000 Figura 2.9:@0.353608:0.298428:0.404934:0.298428:0.404934:0.287001:0.353608:0.287001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es la función definida de en:@0.073089:0.323164:0.307873:0.323164:0.307873:0.307452:0.073089:0.307452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.088661:0.323164:0.092692:0.323164:0.092692:0.307452:0.088661:0.307452:0.000000 f:@0.172230:0.323164:0.176924:0.323164:0.176924:0.307729:0.172230:0.307729:0.000000 R:@0.270801:0.322304:0.284091:0.322304:0.284091:0.309407:0.270801:0.309407:0.000000 :@0.307937:0.322534:0.328562:0.322534:0.328562:0.309678:0.307937:0.309678:0.000000:0.000000:0.000000 R:@0.311897:0.322304:0.325187:0.322304:0.325187:0.309407:0.311897:0.309407:0.000000 como ( ) . Figura :@0.329223:0.323164:0.489858:0.323164:0.489858:0.307452:0.329223:0.307452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.377211:0.323164:0.394366:0.323164:0.394366:0.307729:0.377211:0.307729:0.000000:0.000000:0.000000 5:@0.404214:0.322610:0.419547:0.322610:0.419547:0.308894:0.404214:0.308894:0.000000 x:@0.424462:0.323164:0.431917:0.323164:0.431917:0.307729:0.424462:0.307729:0.000000 2.9.:@0.073104:0.339806:0.097255:0.339806:0.097255:0.324093:0.073104:0.324093:0.000000:0.000000:0.000000:0.000000 Dom f:@0.073104:0.363590:0.118000:0.363590:0.118000:0.348155:0.073104:0.348155:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.108502:0.363590:0.145942:0.363590:0.145942:0.347877:0.108502:0.347877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.126670:0.363035:0.142003:0.363035:0.142003:0.349320:0.126670:0.349320:0.000000 R:@0.145868:0.362730:0.159158:0.362730:0.159158:0.349833:0.145868:0.349833:0.000000 Rec f:@0.073104:0.387374:0.106790:0.387374:0.106790:0.371939:0.073104:0.371939:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.097292:0.387374:0.134732:0.387374:0.134732:0.371661:0.097292:0.371661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115459:0.386819:0.130793:0.386819:0.130793:0.373104:0.115459:0.373104:0.000000 R:@0.134658:0.386514:0.147948:0.386514:0.147948:0.373617:0.134658:0.373617:0.000000 2.3 Otras funciones reales y sus gráficas:@0.073104:0.411158:0.382392:0.411158:0.382392:0.394211:0.073104:0.394211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Función cúbica: :@0.073104:0.434942:0.195527:0.434942:0.195527:0.418272:0.073104:0.418272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Figura 2.10:@0.265030:0.606384:0.322889:0.606384:0.322889:0.594957:0.265030:0.594957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.254816:0.579072:0.267361:0.579072:0.267361:0.567850:0.254816:0.567850:0.000000 2:@0.267361:0.579525:0.274711:0.579525:0.274711:0.566670:0.267361:0.566670:0.000000 4:@0.267361:0.466058:0.274711:0.466058:0.274711:0.453203:0.267361:0.453203:0.000000 2:@0.214348:0.546847:0.226894:0.546847:0.226894:0.535625:0.214348:0.535625:0.000000 2:@0.226894:0.547301:0.234243:0.547301:0.234243:0.534445:0.226894:0.534445:0.000000 2 x:@0.326007:0.548231:0.354036:0.547289:0.354036:0.534434:0.326007:0.535375:0.000000:0.000000:0.000000 2:@0.266533:0.502651:0.273882:0.502651:0.273882:0.489796:0.266533:0.489796:0.000000 y:@0.267227:0.452113:0.273854:0.452113:0.273854:0.439257:0.267227:0.439257:0.000000 0:@0.270296:0.547171:0.277646:0.547171:0.277646:0.534315:0.270296:0.534315:0.000000 Es la función definida de en:@0.073089:0.631119:0.318329:0.631119:0.318329:0.615406:0.073089:0.615406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.176832:0.631119:0.181526:0.631119:0.181526:0.615684:0.176832:0.615684:0.000000 R:@0.279968:0.630259:0.293258:0.630259:0.293258:0.617362:0.279968:0.617362:0.000000 :@0.318555:0.630488:0.340138:0.630488:0.340138:0.617633:0.318555:0.617633:0.000000:0.000000:0.000000 R:@0.323292:0.630259:0.336582:0.630259:0.336582:0.617362:0.323292:0.617362:0.000000 como :@0.341578:0.631119:0.389363:0.631119:0.389363:0.615406:0.341578:0.615406:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f:@0.391148:0.631119:0.437111:0.631119:0.437111:0.615684:0.391148:0.615684:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) . :@0.427302:0.631119:0.489801:0.631119:0.489801:0.615406:0.427302:0.615406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.448192:0.630564:0.463526:0.630564:0.463526:0.616848:0.448192:0.616848:0.000000 x:@0.469582:0.631119:0.477037:0.631119:0.477037:0.615684:0.469582:0.615684:0.000000 3:@0.477199:0.625055:0.482436:0.625055:0.482436:0.615894:0.477199:0.615894:0.000000 Figura 2.10.:@0.073098:0.647761:0.155039:0.647761:0.155039:0.632048:0.073098:0.632048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f:@0.073098:0.671545:0.117993:0.671545:0.117993:0.656109:0.073098:0.656109:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.108495:0.671545:0.145935:0.671545:0.145935:0.655832:0.108495:0.655832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.126663:0.670990:0.141996:0.670990:0.141996:0.657274:0.126663:0.657274:0.000000 R:@0.145862:0.670685:0.159152:0.670685:0.159152:0.657787:0.145862:0.657787:0.000000 Rec f:@0.073098:0.695329:0.106783:0.695329:0.106783:0.679893:0.073098:0.679893:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.097285:0.695329:0.134725:0.695329:0.134725:0.679616:0.097285:0.679616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115453:0.694774:0.130786:0.694774:0.130786:0.681058:0.115453:0.681058:0.000000 R:@0.134652:0.694469:0.147942:0.694469:0.147942:0.681571:0.134652:0.681571:0.000000 Función valor absoluto:@0.073098:0.719113:0.246336:0.719113:0.246336:0.702443:0.073098:0.702443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Figura 2.11:@0.133710:0.849927:0.191569:0.849927:0.191569:0.838500:0.133710:0.838500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.073550:0.809171:0.086095:0.809171:0.086095:0.797949:0.073550:0.797949:0.000000 4:@0.086095:0.809625:0.093445:0.809625:0.093445:0.796769:0.086095:0.796769:0.000000 2:@0.158563:0.839773:0.171108:0.839773:0.171108:0.828552:0.158563:0.828552:0.000000 2:@0.171108:0.840227:0.178457:0.840227:0.178457:0.827371:0.171108:0.827371:0.000000 4:@0.171108:0.726363:0.178457:0.726363:0.178457:0.713507:0.171108:0.713507:0.000000 2:@0.118092:0.809171:0.130637:0.809171:0.130637:0.797949:0.118092:0.797949:0.000000 2:@0.130637:0.809625:0.137987:0.809625:0.137987:0.796769:0.130637:0.796769:0.000000 2:@0.229750:0.810556:0.237100:0.810556:0.237100:0.797700:0.229750:0.797700:0.000000 4 x:@0.279992:0.810556:0.306303:0.809625:0.306303:0.796769:0.279992:0.797700:0.000000:0.000000:0.000000 2:@0.170277:0.763977:0.177626:0.763977:0.177626:0.751122:0.170277:0.751122:0.000000 y:@0.170969:0.740683:0.177596:0.740683:0.177596:0.727827:0.170969:0.727827:0.000000 0:@0.174043:0.809500:0.181393:0.809500:0.181393:0.796645:0.174043:0.796645:0.000000 es la función definida de en 0, :@0.073089:0.874662:0.341778:0.874662:0.341778:0.858949:0.073089:0.858949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.175672:0.874662:0.180366:0.874662:0.180366:0.859227:0.175672:0.859227:0.000000 R:@0.277336:0.873802:0.290626:0.873802:0.290626:0.860905:0.277336:0.860905:0.000000 F:@0.320941:0.875244:0.325027:0.875244:0.325027:0.857590:0.320941:0.857590:0.000000 `:@0.343234:0.874107:0.355511:0.874107:0.355511:0.860392:0.343234:0.860392:0.000000 F :@0.355714:0.875244:0.364604:0.875244:0.364604:0.857590:0.355714:0.857590:0.000000:0.000000 como ( ) :@0.366261:0.874662:0.462899:0.874662:0.462899:0.858949:0.366261:0.858949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.415316:0.874662:0.432656:0.874662:0.432656:0.859227:0.415316:0.859227:0.000000:0.000000:0.000000 5 | |:@0.443332:0.874107:0.482392:0.874107:0.482392:0.860392:0.443332:0.860392:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.469673:0.874662:0.477128:0.874662:0.477128:0.859227:0.469673:0.859227:0.000000 . :@0.482595:0.874662:0.489829:0.874662:0.489829:0.858949:0.482595:0.858949:0.000000:0.000000 Figura 2.11.:@0.073125:0.891304:0.155067:0.891304:0.155067:0.875591:0.073125:0.875591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f:@0.073125:0.915088:0.118021:0.915088:0.118021:0.899653:0.073125:0.899653:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.108523:0.915088:0.145963:0.915088:0.145963:0.899375:0.108523:0.899375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.126691:0.914533:0.142024:0.914533:0.142024:0.900817:0.126691:0.900817:0.000000 R:@0.145889:0.914228:0.159179:0.914228:0.159179:0.901331:0.145889:0.901331:0.000000 Rec f:@0.073125:0.938872:0.106811:0.938872:0.106811:0.923436:0.073125:0.923436:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) 0, :@0.097313:0.938872:0.174954:0.938872:0.174954:0.923159:0.097313:0.923159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.115481:0.938317:0.130814:0.938317:0.130814:0.924601:0.115481:0.924601:0.000000 F:@0.134679:0.939454:0.138766:0.939454:0.138766:0.921800:0.134679:0.921800:0.000000 `:@0.154651:0.938317:0.166929:0.938317:0.166929:0.924601:0.154651:0.924601:0.000000 F:@0.166837:0.939454:0.170923:0.939454:0.170923:0.921800:0.166837:0.921800:0.000000 Función cuadrado de ::@0.514274:0.135931:0.690358:0.135931:0.690358:0.119261:0.514274:0.119261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.678503:0.135931:0.686621:0.135931:0.686621:0.119248:0.678503:0.119248:0.000000 Figura 2.12:@0.705663:0.307632:0.763522:0.307632:0.763522:0.296204:0.705663:0.296204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.695957:0.294236:0.708503:0.294236:0.708503:0.283015:0.695957:0.283015:0.000000 2:@0.708503:0.294690:0.715852:0.294690:0.715852:0.281835:0.708503:0.281835:0.000000 4:@0.708503:0.180825:0.715852:0.180825:0.715852:0.167969:0.708503:0.167969:0.000000 2:@0.655490:0.263633:0.668035:0.263633:0.668035:0.252411:0.655490:0.252411:0.000000 2:@0.668035:0.264087:0.675385:0.264087:0.675385:0.251231:0.668035:0.251231:0.000000 2:@0.767148:0.265017:0.774498:0.265017:0.774498:0.252162:0.767148:0.252162:0.000000 2:@0.707674:0.218439:0.715024:0.218439:0.715024:0.205583:0.707674:0.205583:0.000000 y:@0.710762:0.161785:0.717388:0.161785:0.717388:0.148929:0.710762:0.148929:0.000000 0:@0.711438:0.263963:0.718787:0.263963:0.718787:0.251108:0.711438:0.251108:0.000000 Es la función definida de en 0, como ( ) . :@0.514231:0.336655:0.898226:0.336655:0.898226:0.320943:0.514231:0.320943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.609083:0.336655:0.613777:0.336655:0.613777:0.321220:0.609083:0.321220:0.000000 R:@0.703384:0.335796:0.716674:0.335796:0.716674:0.322898:0.703384:0.322898:0.000000 F:@0.743107:0.337238:0.747193:0.337238:0.747193:0.319584:0.743107:0.319584:0.000000 `:@0.763079:0.336101:0.775356:0.336101:0.775356:0.322385:0.763079:0.322385:0.000000 F:@0.775264:0.337238:0.779351:0.337238:0.779351:0.319584:0.775264:0.319584:0.000000 f x:@0.833652:0.336655:0.850531:0.336655:0.850531:0.321220:0.833652:0.321220:0.000000:0.000000:0.000000 5:@0.859201:0.336101:0.874534:0.336101:0.874534:0.322385:0.859201:0.322385:0.000000 x:@0.878400:0.336655:0.885855:0.336655:0.885855:0.321220:0.878400:0.321220:0.000000 2:@0.885801:0.330592:0.891038:0.330592:0.891038:0.321431:0.885801:0.321431:0.000000 Figura 2.12.:@0.514233:0.364017:0.596174:0.364017:0.596174:0.348305:0.514233:0.348305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f:@0.514233:0.392101:0.559128:0.392101:0.559128:0.376665:0.514233:0.376665:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.549630:0.392101:0.587070:0.392101:0.587070:0.376388:0.549630:0.376388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.567798:0.391546:0.583131:0.391546:0.583131:0.377830:0.567798:0.377830:0.000000 R:@0.586996:0.391241:0.600286:0.391241:0.600286:0.378343:0.586996:0.378343:0.000000 Rec f:@0.514233:0.420184:0.547918:0.420184:0.547918:0.404748:0.514233:0.404748:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) 0, :@0.538420:0.420184:0.595850:0.420184:0.595850:0.404471:0.538420:0.404471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.556588:0.419629:0.571921:0.419629:0.571921:0.405913:0.556588:0.405913:0.000000 F:@0.575786:0.420766:0.579873:0.420766:0.579873:0.403112:0.575786:0.403112:0.000000 `:@0.595758:0.419629:0.608036:0.419629:0.608036:0.405913:0.595758:0.405913:0.000000 F:@0.607944:0.420766:0.612030:0.420766:0.612030:0.403112:0.607944:0.403112:0.000000 Función máximo entero: :@0.514233:0.448267:0.702762:0.448267:0.702762:0.431597:0.514233:0.431597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Figura 2.13:@0.788425:0.618630:0.846284:0.618630:0.846284:0.607203:0.788425:0.607203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.697644:0.554849:0.704994:0.554849:0.704994:0.541993:0.697644:0.541993:0.000000 2:@0.651755:0.584884:0.664300:0.584884:0.664300:0.573662:0.651755:0.573662:0.000000 2:@0.664300:0.585337:0.671650:0.585337:0.671650:0.572482:0.664300:0.572482:0.000000 3:@0.663472:0.490626:0.670821:0.490626:0.670821:0.477771:0.663472:0.477771:0.000000 2:@0.610082:0.554395:0.622628:0.554395:0.622628:0.543173:0.610082:0.543173:0.000000 2:@0.622628:0.554849:0.629977:0.554849:0.629977:0.541993:0.622628:0.541993:0.000000 2:@0.637794:0.554395:0.650339:0.554395:0.650339:0.543173:0.637794:0.543173:0.000000 1 0:@0.650339:0.554849:0.673382:0.554724:0.673382:0.541868:0.650339:0.541993:0.000000:0.000000:0.000000 2:@0.721169:0.554849:0.728518:0.554849:0.728518:0.541993:0.721169:0.541993:0.000000 3:@0.747660:0.554849:0.755009:0.554849:0.755009:0.541993:0.747660:0.541993:0.000000 4:@0.771983:0.554849:0.779332:0.554849:0.779332:0.541993:0.771983:0.541993:0.000000 1:@0.664616:0.528241:0.671966:0.528241:0.671966:0.515385:0.664616:0.515385:0.000000 2:@0.664616:0.508906:0.671966:0.508906:0.671966:0.496050:0.664616:0.496050:0.000000 y:@0.663668:0.474094:0.670294:0.474094:0.670294:0.461239:0.663668:0.461239:0.000000 x:@0.816863:0.553873:0.823324:0.553873:0.823324:0.541017:0.816863:0.541017:0.000000 Es la función definida de en como ( ) :@0.514231:0.647654:0.841935:0.647654:0.841935:0.631941:0.514231:0.631941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.606580:0.647654:0.611274:0.647654:0.611274:0.632218:0.606580:0.632218:0.000000 R:@0.698414:0.646794:0.711704:0.646794:0.711704:0.633896:0.698414:0.633896:0.000000 Z:@0.736848:0.646794:0.749126:0.646794:0.749126:0.633896:0.736848:0.633896:0.000000 f x:@0.798016:0.647654:0.814748:0.647654:0.814748:0.632218:0.798016:0.632218:0.000000:0.000000:0.000000 5:@0.822755:0.647099:0.838088:0.647099:0.838088:0.633383:0.822755:0.633383:0.000000 i i:@0.841346:0.648236:0.860747:0.648236:0.860747:0.630582:0.841346:0.630582:0.000000:0.000000:0.000000 x:@0.847292:0.647654:0.854747:0.647654:0.854747:0.632218:0.847292:0.632218:0.000000 . Observa :@0.860563:0.647654:0.931036:0.647654:0.931036:0.631941:0.860563:0.631941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la Figura 2.13.:@0.514323:0.664295:0.612334:0.664295:0.612334:0.648583:0.514323:0.648583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f:@0.514323:0.692378:0.559218:0.692378:0.559218:0.676943:0.514323:0.676943:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.549720:0.692378:0.587160:0.692378:0.587160:0.676666:0.549720:0.676666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.567888:0.691824:0.583221:0.691824:0.583221:0.678108:0.567888:0.678108:0.000000 R:@0.587087:0.691519:0.600377:0.691519:0.600377:0.678621:0.587087:0.678621:0.000000 2.4 Funciones reales a trozos:@0.514231:0.772448:0.738126:0.772448:0.738126:0.755501:0.514231:0.755501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Definición:@0.514231:0.800526:0.592199:0.800526:0.592199:0.783857:0.514231:0.783857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una función de en , definida como :@0.514231:0.837180:0.808250:0.837180:0.808250:0.821467:0.514231:0.821467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.607243:0.837180:0.611937:0.837180:0.611937:0.821745:0.607243:0.821745:0.000000 R:@0.638535:0.836320:0.651825:0.836320:0.651825:0.823423:0.638535:0.823423:0.000000 R:@0.678258:0.836320:0.691548:0.836320:0.691548:0.823423:0.678258:0.823423:0.000000 a x:@0.679034:0.863694:0.699614:0.863694:0.699614:0.848258:0.679034:0.848258:0.000000:0.000000:0.000000 ₁ :@0.688293:0.863694:0.703645:0.863694:0.703645:0.847981:0.688293:0.847981:0.000000:0.000000:0.000000 1 :@0.703645:0.863139:0.723580:0.863139:0.723580:0.849423:0.703645:0.849423:0.000000:0.000000 b x :@0.723580:0.863694:0.772046:0.863694:0.772046:0.848258:0.723580:0.848258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ₁, si :@0.732839:0.863694:0.761278:0.863694:0.761278:0.847981:0.732839:0.847981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 # :@0.772046:0.863139:0.791981:0.863139:0.791981:0.849423:0.772046:0.849423:0.000000:0.000000 x :@0.791981:0.863694:0.811659:0.863694:0.811659:0.848258:0.791981:0.848258:0.000000:0.000000:0.000000 ₀,:@0.799436:0.863694:0.808345:0.863694:0.808345:0.847981:0.799436:0.847981:0.000000:0.000000 a x:@0.679034:0.881046:0.701013:0.881046:0.701013:0.865611:0.679034:0.865611:0.000000:0.000000:0.000000 ₂ :@0.688293:0.881046:0.705044:0.881046:0.705044:0.865334:0.688293:0.865334:0.000000:0.000000:0.000000 1 :@0.705044:0.880492:0.724979:0.880492:0.724979:0.866776:0.705044:0.866776:0.000000:0.000000 b x :@0.724979:0.881046:0.774844:0.881046:0.774844:0.865611:0.724979:0.865611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ₂, si :@0.734238:0.881046:0.764076:0.881046:0.764076:0.865334:0.734238:0.865334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . :@0.774844:0.880492:0.794779:0.880492:0.794779:0.866776:0.774844:0.866776:0.000000:0.000000 x :@0.794779:0.881046:0.814455:0.881046:0.814455:0.865611:0.794779:0.865611:0.000000:0.000000:0.000000 ₀,:@0.802234:0.881046:0.811142:0.881046:0.811142:0.865334:0.802234:0.865334:0.000000:0.000000 5:@0.673562:0.882683:0.677607:0.882683:0.677607:0.848585:0.673562:0.848585:0.000000 f x:@0.630203:0.874325:0.647228:0.874325:0.647228:0.858890:0.630203:0.858890:0.000000:0.000000:0.000000 ( ) :@0.634895:0.874325:0.656137:0.874325:0.656137:0.858613:0.634895:0.858613:0.000000:0.000000:0.000000:0.000000 5:@0.656137:0.873771:0.671471:0.873771:0.671471:0.860055:0.656137:0.860055:0.000000 :@0.810939:0.873827:0.814970:0.873827:0.814970:0.858115:0.810939:0.858115:0.000000 se dice :@0.514233:0.910481:0.576099:0.910481:0.576099:0.894768:0.514233:0.894768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 afín a trozos:@0.579762:0.910481:0.684730:0.910481:0.684730:0.893811:0.579762:0.893811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , donde :@0.685254:0.910481:0.752146:0.910481:0.752146:0.894768:0.685254:0.894768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a , a , b , b:@0.755809:0.910481:0.840490:0.910479:0.840490:0.895044:0.755809:0.895046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.765507:0.913350:0.770506:0.913350:0.770506:0.904605:0.765507:0.904605:0.000000 2:@0.790651:0.913350:0.795650:0.913350:0.795650:0.904605:0.790651:0.904605:0.000000 1:@0.815795:0.913350:0.820794:0.913350:0.820794:0.904605:0.815795:0.904605:0.000000 2:@0.840940:0.913350:0.845938:0.913350:0.845938:0.904605:0.840940:0.904605:0.000000 :@0.846243:0.910479:0.850274:0.910479:0.850274:0.894766:0.846243:0.894766:0.000000 [:@0.853974:0.910340:0.869307:0.910340:0.869307:0.896292:0.853974:0.896292:0.000000 son :@0.869933:0.910479:0.930971:0.910479:0.930971:0.894766:0.869933:0.894766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.877664:0.909619:0.890954:0.909619:0.890954:0.896722:0.877664:0.896722:0.000000 constantes, no todas nulas, :@0.514249:0.935691:0.713405:0.935691:0.713405:0.919979:0.514249:0.919979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.713158:0.935691:0.720613:0.935691:0.720613:0.920256:0.713158:0.920256:0.000000 0:@0.720531:0.938565:0.725530:0.938565:0.725530:0.929820:0.720531:0.929820:0.000000 [ :@0.725486:0.935404:0.748732:0.935404:0.748732:0.921994:0.725486:0.921994:0.000000:0.000000:0.000000 R:@0.748644:0.934716:0.761330:0.934716:0.761330:0.922404:0.748644:0.922404:0.000000 fijo.:@0.761241:0.935694:0.790170:0.935694:0.790170:0.919981:0.761241:0.919981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000