61:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000 3.:@0.108233:0.107103:0.120505:0.107103:0.120505:0.090389:0.108233:0.090389:0.000000:0.000000 Sean :@0.120506:0.106886:0.169766:0.106886:0.169766:0.090389:0.120506:0.090389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p, q:@0.169766:0.107002:0.194773:0.107002:0.194773:0.090533:0.169766:0.090533:0.000000:0.000000:0.000000:0.000000 los polinomios definidos como ( ) = 2 + 1, :@0.194773:0.106886:0.535444:0.106886:0.535444:0.090389:0.194773:0.090389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.424006:0.107002:0.446700:0.107002:0.446700:0.090533:0.424006:0.090533:0.000000:0.000000:0.000000 x:@0.480241:0.107002:0.487716:0.107002:0.487716:0.090533:0.480241:0.090533:0.000000 2:@0.487722:0.100535:0.492675:0.100535:0.492675:0.090916:0.487722:0.090916:0.000000 q x:@0.131972:0.124353:0.154570:0.124353:0.154570:0.107884:0.131972:0.107884:0.000000:0.000000:0.000000 ( ) =:@0.141142:0.124237:0.175473:0.124237:0.175473:0.107739:0.141142:0.107739:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.175473:0.124353:0.195374:0.124353:0.195374:0.107884:0.175473:0.107884:0.000000:0.000000:0.000000:0.000000 con :@0.195374:0.124237:0.226468:0.124237:0.226468:0.107739:0.195374:0.107739:0.000000:0.000000:0.000000:0.000000 x :@0.226468:0.124353:0.242227:0.124353:0.242227:0.107884:0.226468:0.107884:0.000000:0.000000:0.000000 :@0.242227:0.124020:0.258275:0.124020:0.258275:0.109373:0.242227:0.109373:0.000000 :@0.258278:0.123718:0.262675:0.123718:0.262675:0.110345:0.258278:0.110345:0.000000 :@0.262675:0.123268:0.276585:0.123268:0.276585:0.109821:0.262675:0.109821:0.000000 . La función racional está definida como:@0.276585:0.124237:0.567970:0.124237:0.567970:0.107739:0.276585:0.107739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.423210:0.124353:0.427507:0.124353:0.427507:0.107884:0.423210:0.107884:0.000000 f x:@0.131980:0.148832:0.149704:0.148832:0.149704:0.132364:0.131980:0.132364:0.000000:0.000000:0.000000 ( ) = = = 2:@0.136276:0.148717:0.320837:0.148717:0.320837:0.132219:0.136276:0.132219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x + :@0.320837:0.148832:0.355765:0.148832:0.355765:0.132364:0.320837:0.132364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ≠ 0.:@0.355765:0.148717:0.414293:0.148717:0.414293:0.132219:0.355765:0.132219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.376475:0.148832:0.403042:0.148832:0.403042:0.132364:0.376475:0.132364:0.000000:0.000000:0.000000 :@0.108245:0.166067:0.112387:0.166067:0.112387:0.149570:0.108245:0.149570:0.000000 :@0.108244:0.183418:0.112386:0.183418:0.112386:0.166921:0.108244:0.166921:0.000000 Tracemos la gráfica de esta función.:@0.131980:0.183418:0.383640:0.183418:0.383640:0.166921:0.131980:0.166921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108244:0.218120:0.112386:0.218120:0.112386:0.201622:0.108244:0.201622:0.000000 El dominio de es el conjunto :@0.131980:0.218120:0.347537:0.218120:0.347537:0.201622:0.131980:0.201622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.235434:0.218235:0.239730:0.218235:0.239730:0.201767:0.235434:0.201767:0.000000 Dom(f) = \ :@0.347537:0.218235:0.447485:0.218235:0.447485:0.201767:0.347537:0.201767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000  :@0.418799:0.217151:0.437525:0.217151:0.437525:0.203704:0.418799:0.203704:0.000000:0.000000 {0}. Además, una :@0.447485:0.218120:0.571416:0.218120:0.571416:0.201622:0.447485:0.201622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota vertical:@0.131980:0.235933:0.256776:0.235933:0.256776:0.218987:0.131980:0.218987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es el conjunto = {(0, ) | :@0.256776:0.235470:0.447581:0.235470:0.447581:0.218973:0.256776:0.218973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.364779:0.235586:0.374354:0.235586:0.374354:0.219117:0.364779:0.219117:0.000000 y y :@0.420648:0.235586:0.459410:0.235586:0.459410:0.219117:0.420648:0.219117:0.000000:0.000000:0.000000:0.000000 :@0.459410:0.235254:0.475458:0.235254:0.475458:0.220607:0.459410:0.220607:0.000000 :@0.475449:0.234952:0.479846:0.234952:0.479846:0.221579:0.475449:0.221579:0.000000 :@0.479846:0.234502:0.493756:0.234502:0.493756:0.221055:0.479846:0.221055:0.000000 } o = 0,:@0.493756:0.235470:0.555251:0.235470:0.555251:0.218973:0.493756:0.218973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.517433:0.235586:0.524908:0.235586:0.524908:0.219117:0.517433:0.219117:0.000000 :@0.108239:0.252821:0.112381:0.252821:0.112381:0.236324:0.108239:0.236324:0.000000 cuya representación gráfica coincide con el eje .:@0.131975:0.252821:0.475645:0.252821:0.475645:0.236324:0.131975:0.236324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.465204:0.252937:0.472891:0.252937:0.472891:0.236468:0.465204:0.236468:0.000000 :@0.108239:0.287523:0.112381:0.287523:0.112381:0.271025:0.108239:0.271025:0.000000 La gráfica de esta función tiene otra asíntota que se obtiene del:@0.131975:0.287523:0.589617:0.287523:0.589617:0.271025:0.131975:0.271025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.317013:0.287638:0.321310:0.287638:0.321310:0.271170:0.317013:0.271170:0.000000 :@0.108239:0.312001:0.112381:0.312001:0.112381:0.295503:0.108239:0.295503:0.000000 siguiente modo. Para :@0.131975:0.312001:0.284380:0.312001:0.284380:0.295503:0.131975:0.295503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.284380:0.312117:0.295997:0.312117:0.295997:0.295648:0.284380:0.295648:0.000000:0.000000 :@0.295997:0.311784:0.312045:0.311784:0.312045:0.297137:0.295997:0.297137:0.000000 :@0.312048:0.311482:0.316445:0.311482:0.316445:0.298109:0.312048:0.298109:0.000000 :@0.316445:0.311032:0.330355:0.311032:0.330355:0.297586:0.316445:0.297586:0.000000 , tal que | | ∞, el término de la:@0.330355:0.312001:0.587976:0.312001:0.587976:0.295503:0.330355:0.295503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.395547:0.312117:0.403021:0.312117:0.403021:0.295648:0.395547:0.295648:0.000000 →:@0.412172:0.319588:0.427614:0.319588:0.427614:0.300588:0.412172:0.300588:0.000000 :@0.108232:0.336480:0.112374:0.336480:0.112374:0.319982:0.108232:0.319982:0.000000 definición de ( ) es suficientemente pequeño. Nos queda el :@0.131968:0.336480:0.562271:0.336480:0.562271:0.319982:0.131968:0.319982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.229448:0.336595:0.246981:0.336595:0.246981:0.320126:0.229448:0.320126:0.000000:0.000000:0.000000 término 2 . Con este se introduce la función definida como :@0.131968:0.353830:0.574718:0.353830:0.574718:0.337333:0.131968:0.337333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.202132:0.353946:0.209607:0.353946:0.209607:0.337477:0.202132:0.337477:0.000000 v:@0.450555:0.353946:0.458339:0.353946:0.458339:0.337477:0.450555:0.337477:0.000000 v x:@0.131968:0.371297:0.153179:0.371297:0.153179:0.354828:0.131968:0.354828:0.000000:0.000000:0.000000 ( ) = 2 :@0.139751:0.371181:0.209588:0.371181:0.209588:0.354683:0.139751:0.354683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x, x :@0.186720:0.371297:0.221205:0.371297:0.221205:0.354828:0.186720:0.354828:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.221205:0.370964:0.237252:0.370964:0.237252:0.356317:0.221205:0.356317:0.000000 :@0.237258:0.370662:0.241656:0.370662:0.241656:0.357289:0.237258:0.357289:0.000000 :@0.241656:0.370212:0.255565:0.370212:0.255565:0.356765:0.241656:0.356765:0.000000 . Nota que::@0.255565:0.371181:0.332875:0.371181:0.332875:0.354683:0.255565:0.354683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108225:0.395661:0.112367:0.395661:0.112367:0.379163:0.108225:0.379163:0.000000 f x:@0.131959:0.395776:0.149684:0.395776:0.149684:0.379308:0.131959:0.379308:0.000000:0.000000:0.000000 ( ) = 2 + = :@0.136256:0.395661:0.249593:0.395661:0.249593:0.379163:0.136256:0.379163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.183224:0.395776:0.190699:0.395776:0.190699:0.379308:0.183224:0.379308:0.000000 v(x) + :@0.249593:0.395776:0.303170:0.395776:0.303170:0.379308:0.249593:0.379308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.303170:0.395661:0.326635:0.395661:0.326635:0.379163:0.303170:0.379163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.326635:0.395776:0.338252:0.395776:0.338252:0.379308:0.326635:0.379308:0.000000:0.000000 :@0.338252:0.395444:0.354300:0.395444:0.354300:0.380797:0.338252:0.380797:0.000000 :@0.354312:0.395142:0.358710:0.395142:0.358710:0.381769:0.354312:0.381769:0.000000 :@0.358710:0.394692:0.372619:0.394692:0.372619:0.381245:0.358710:0.381245:0.000000 \ {0}, de donde::@0.372619:0.395661:0.485204:0.395661:0.485204:0.379163:0.372619:0.379163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 | ( ) = :@0.108242:0.433558:0.183896:0.433557:0.183896:0.417059:0.108242:0.417060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.141127:0.433673:0.158851:0.433673:0.158851:0.417204:0.141127:0.417204:0.000000:0.000000:0.000000 v(x:@0.183896:0.433673:0.204587:0.433673:0.204587:0.417204:0.183896:0.417204:0.000000:0.000000:0.000000 )| = 0 cuando ∞.:@0.204587:0.433557:0.413173:0.433553:0.413173:0.417056:0.204587:0.417059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.263635:0.433051:0.282650:0.433051:0.282650:0.415339:0.263635:0.415339:0.000000 x:@0.365912:0.433673:0.373387:0.433673:0.373387:0.417204:0.365912:0.417204:0.000000 →:@0.377524:0.441140:0.392967:0.441140:0.392967:0.422141:0.377524:0.422141:0.000000 :@0.108224:0.468255:0.112366:0.468255:0.112366:0.451757:0.108224:0.451757:0.000000 El grafo de es el conjunto definido como ( ) = {( , 2 ) | :@0.131958:0.468255:0.542285:0.468255:0.542285:0.451757:0.131958:0.451757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.209094:0.468370:0.216877:0.468370:0.216877:0.451902:0.209094:0.451902:0.000000 G v:@0.432280:0.468370:0.457460:0.468370:0.457460:0.451902:0.432280:0.451902:0.000000:0.000000:0.000000 x x x :@0.493505:0.468370:0.553497:0.468370:0.553497:0.451902:0.493505:0.451902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.553212:0.468038:0.569260:0.468038:0.569260:0.453391:0.553212:0.453391:0.000000 :@0.569271:0.467736:0.573668:0.467736:0.573668:0.454363:0.569271:0.454363:0.000000 :@0.573248:0.467286:0.587157:0.467286:0.587157:0.453839:0.573248:0.453839:0.000000 }, :@0.587157:0.468255:0.599911:0.468255:0.599911:0.451757:0.587157:0.451757:0.000000:0.000000:0.000000 representa la :@0.131977:0.485605:0.226606:0.485605:0.226606:0.469108:0.131977:0.469108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota oblícua:@0.226606:0.486314:0.356065:0.486314:0.356065:0.469122:0.226606:0.469122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 2 .:@0.356065:0.485605:0.405711:0.485605:0.405711:0.469108:0.356065:0.469108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.360207:0.485721:0.367894:0.485721:0.367894:0.469252:0.360207:0.469252:0.000000 x:@0.395481:0.485721:0.402956:0.485721:0.402956:0.469252:0.395481:0.469252:0.000000 :@0.108242:0.502956:0.112384:0.502956:0.112384:0.486459:0.108242:0.486459:0.000000 :@0.108242:0.520307:0.112384:0.520307:0.112384:0.503809:0.108242:0.503809:0.000000 La representación de la Figura 2.5. de este conjunto es una recta, con :@0.131976:0.520307:0.599827:0.520307:0.599827:0.503809:0.131976:0.503809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una asíntota denominada ‘:@0.131976:0.537658:0.317672:0.537658:0.317672:0.521160:0.131976:0.521160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota oblicua:@0.317480:0.538120:0.438307:0.538120:0.438307:0.521175:0.317480:0.521175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ’ que se designa con .:@0.438115:0.537658:0.590354:0.537658:0.590354:0.521160:0.438115:0.521160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.579905:0.537773:0.587784:0.537773:0.587784:0.521305:0.579905:0.521305:0.000000 :@0.108242:0.572359:0.112384:0.572359:0.112384:0.555862:0.108242:0.555862:0.000000 Calculemos algunos valores de la función .:@0.131976:0.572359:0.435038:0.572359:0.435038:0.555862:0.131976:0.555862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.428176:0.572475:0.432472:0.572475:0.432472:0.556006:0.428176:0.556006:0.000000 Para < 0 :@0.203219:0.607061:0.276909:0.607061:0.276909:0.590563:0.203219:0.590563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.237704:0.607176:0.245179:0.607176:0.245179:0.590708:0.237704:0.590708:0.000000 Para > 0:@0.426408:0.607061:0.495956:0.607061:0.495956:0.590563:0.426408:0.590563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.460893:0.607176:0.468368:0.607176:0.468368:0.590708:0.460893:0.590708:0.000000 f:@0.131976:0.649007:0.136272:0.649007:0.136272:0.632538:0.131976:0.632538:0.000000 (–2) = = –:@0.136272:0.648891:0.302840:0.648891:0.302840:0.632393:0.136272:0.632393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.302840:0.649007:0.330543:0.649007:0.330543:0.632538:0.302840:0.632538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f :@0.378918:0.649007:0.387356:0.649007:0.387356:0.632538:0.378918:0.632538:0.000000:0.000000 ( ) = = ,:@0.387356:0.648891:0.564462:0.648891:0.564462:0.632393:0.387356:0.632393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.131976:0.722443:0.136272:0.722443:0.136272:0.705975:0.131976:0.705975:0.000000 (–1) = = –3:@0.136272:0.722328:0.311336:0.722328:0.311336:0.705830:0.136272:0.705830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.311336:0.722443:0.314187:0.722443:0.314187:0.705975:0.311336:0.705975:0.000000 f:@0.378918:0.722443:0.383214:0.722443:0.383214:0.705975:0.378918:0.705975:0.000000 ( ) = = 3:@0.387356:0.722328:0.553635:0.722328:0.553635:0.705830:0.387356:0.705830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.553635:0.722443:0.556486:0.722443:0.556486:0.705975:0.553635:0.705975:0.000000 f:@0.131976:0.788752:0.136272:0.788752:0.136272:0.772283:0.131976:0.772283:0.000000 (– ) = = –3:@0.136272:0.788636:0.338673:0.788636:0.338673:0.772139:0.136272:0.772139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.338673:0.788752:0.341524:0.788752:0.341524:0.772283:0.338673:0.772283:0.000000 f:@0.378918:0.788752:0.383214:0.788752:0.383214:0.772283:0.378918:0.772283:0.000000 (1) = = 3:@0.383214:0.788636:0.528995:0.788636:0.528995:0.772139:0.383214:0.772139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.528995:0.788752:0.556698:0.788752:0.556698:0.772283:0.528995:0.772283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.131976:0.862190:0.136272:0.862190:0.136272:0.845721:0.131976:0.845721:0.000000 (– ) = = – :@0.136272:0.862074:0.339906:0.862074:0.339906:0.845576:0.136272:0.845576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , f:@0.339906:0.862190:0.383214:0.862190:0.383214:0.845721:0.339906:0.845721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (2) = = :@0.383214:0.862074:0.524641:0.862074:0.524641:0.845576:0.383214:0.845576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.524641:0.862190:0.545021:0.862190:0.545021:0.845721:0.524641:0.845721:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.108242:0.923105:0.112384:0.923105:0.112384:0.906607:0.108242:0.906607:0.000000 Para trazar la gráfica de la función , se toman en consideración las :@0.131976:0.923105:0.599947:0.923105:0.599947:0.906607:0.131976:0.906607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.372848:0.923221:0.377144:0.923221:0.377144:0.906752:0.372848:0.906752:0.000000 asíntotas horizontal y oblicua, y algunos de los valores calculados.:@0.131976:0.940456:0.595240:0.940456:0.595240:0.923958:0.131976:0.923958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p x:@0.179107:0.141751:0.201802:0.141751:0.201802:0.125282:0.179107:0.125282:0.000000:0.000000:0.000000 ( ):@0.188374:0.141636:0.207755:0.141636:0.207755:0.125138:0.188374:0.125138:0.000000:0.000000:0.000000 q x):@0.179416:0.158090:0.207447:0.158090:0.207447:0.141621:0.179416:0.141621:0.000000:0.000000:0.000000:0.000000 (:@0.188586:0.157974:0.194539:0.157974:0.194539:0.141477:0.188586:0.141477:0.000000 2:@0.237361:0.141636:0.245857:0.141636:0.245857:0.125138:0.237361:0.125138:0.000000 x + :@0.245857:0.141751:0.277453:0.141751:0.277453:0.125282:0.245857:0.125282:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.253331:0.135284:0.258284:0.135284:0.258284:0.125666:0.253331:0.125666:0.000000 1:@0.277453:0.141636:0.285949:0.141636:0.285949:0.125138:0.277453:0.125138:0.000000 x:@0.257918:0.158090:0.265393:0.158090:0.265393:0.141621:0.257918:0.141621:0.000000 1:@0.351892:0.141636:0.360388:0.141636:0.360388:0.125138:0.351892:0.125138:0.000000 x:@0.352412:0.158090:0.359887:0.158090:0.359887:0.141621:0.352412:0.141621:0.000000 1:@0.298245:0.388871:0.306741:0.388871:0.306741:0.372374:0.298245:0.372374:0.000000 x:@0.298766:0.405326:0.306241:0.405326:0.306241:0.388857:0.298766:0.388857:0.000000 1:@0.214483:0.388871:0.222979:0.388871:0.222979:0.372374:0.214483:0.372374:0.000000 x:@0.215004:0.405326:0.222479:0.405326:0.222479:0.388857:0.215004:0.388857:0.000000 1:@0.397282:0.641655:0.405778:0.641655:0.405778:0.625158:0.397282:0.625158:0.000000 4:@0.397282:0.657994:0.405778:0.657994:0.405778:0.641496:0.397282:0.641496:0.000000 1:@0.399912:0.716489:0.408408:0.716489:0.408408:0.699991:0.399912:0.699991:0.000000 2:@0.399912:0.732827:0.408408:0.732827:0.408408:0.716330:0.399912:0.716330:0.000000 1:@0.158224:0.782234:0.166720:0.782234:0.166720:0.765737:0.158224:0.765737:0.000000 2:@0.158436:0.798689:0.166508:0.798689:0.166508:0.782220:0.158436:0.782220:0.000000 1:@0.160281:0.855695:0.168777:0.855695:0.168777:0.839197:0.160281:0.839197:0.000000 4:@0.160281:0.872033:0.168777:0.872033:0.168777:0.855535:0.160281:0.855535:0.000000 9:@0.338952:0.855407:0.347448:0.855407:0.347448:0.838909:0.338952:0.838909:0.000000 2:@0.339164:0.871861:0.347236:0.871861:0.347236:0.855392:0.339164:0.855392:0.000000 9:@0.528742:0.855407:0.537238:0.855407:0.537238:0.838909:0.528742:0.838909:0.000000 2:@0.528954:0.871861:0.537026:0.871861:0.537026:0.855392:0.528954:0.855392:0.000000 2(–2) + 1:@0.192655:0.642544:0.264593:0.642544:0.264593:0.626047:0.192655:0.626047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.232052:0.636193:0.237005:0.636193:0.237005:0.626574:0.232052:0.626574:0.000000 –2:@0.219127:0.658883:0.238123:0.658883:0.238123:0.642385:0.219127:0.642385:0.000000:0.000000 2(–1) + 1:@0.194039:0.716489:0.265977:0.716489:0.265977:0.699991:0.194039:0.699991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.233435:0.710137:0.238389:0.710137:0.238389:0.700519:0.233435:0.700519:0.000000 –:@0.220742:0.732943:0.230779:0.732943:0.230779:0.716474:0.220742:0.716474:0.000000 1:@0.230779:0.732827:0.239275:0.732827:0.239275:0.716330:0.230779:0.716330:0.000000 2 × 1 + 1:@0.428028:0.782389:0.496652:0.782389:0.496652:0.765891:0.428028:0.765891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.464111:0.776037:0.469064:0.776037:0.469064:0.766419:0.464111:0.766419:0.000000 1:@0.458083:0.798727:0.466579:0.798727:0.466579:0.782230:0.458083:0.782230:0.000000 2 × 2 + 1:@0.429373:0.855407:0.497998:0.855407:0.497998:0.838909:0.429373:0.838909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.465456:0.849054:0.470409:0.849054:0.470409:0.839435:0.465456:0.839435:0.000000 2:@0.459429:0.871745:0.467925:0.871745:0.467925:0.855248:0.459429:0.855248:0.000000 2 + 1:@0.443668:0.633705:0.515519:0.633705:0.515519:0.617208:0.443668:0.617208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.463324:0.626162:0.471820:0.626162:0.471820:0.609664:0.463324:0.609664:0.000000 4:@0.463324:0.642500:0.471820:0.642500:0.471820:0.626003:0.463324:0.626003:0.000000 2:@0.482977:0.619810:0.487931:0.619810:0.487931:0.610192:0.482977:0.610192:0.000000 1:@0.475345:0.660109:0.483841:0.660109:0.483841:0.643611:0.475345:0.643611:0.000000 4:@0.475345:0.676447:0.483841:0.676447:0.483841:0.659950:0.475345:0.659950:0.000000 2 + 1:@0.445832:0.707025:0.520057:0.707025:0.520057:0.690527:0.445832:0.690527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.466674:0.699481:0.475170:0.699481:0.475170:0.682983:0.466674:0.682983:0.000000 2:@0.466674:0.715820:0.475170:0.715820:0.475170:0.699322:0.466674:0.699322:0.000000 2:@0.487516:0.693129:0.492469:0.693129:0.492469:0.683511:0.487516:0.683511:0.000000 1:@0.478696:0.734686:0.487192:0.734686:0.487192:0.718188:0.478696:0.718188:0.000000 2:@0.478696:0.751024:0.487192:0.751024:0.487192:0.734527:0.478696:0.734527:0.000000 2 – + 1:@0.207677:0.773089:0.289064:0.773089:0.289064:0.756591:0.207677:0.756591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.241974:0.765545:0.250470:0.765545:0.250470:0.749047:0.241974:0.749047:0.000000 2:@0.241974:0.781883:0.250470:0.781883:0.250470:0.765386:0.241974:0.765386:0.000000 2:@0.260665:0.759192:0.265618:0.759192:0.265618:0.749574:0.260665:0.749574:0.000000 – :@0.233927:0.808296:0.248665:0.808296:0.248665:0.791798:0.233927:0.791798:0.000000:0.000000 1:@0.251540:0.800095:0.260036:0.800095:0.260036:0.783598:0.251540:0.783598:0.000000 2:@0.251752:0.816550:0.259824:0.816550:0.259824:0.800081:0.251752:0.800081:0.000000 2 – + 1:@0.204993:0.846813:0.291486:0.846813:0.291486:0.830315:0.204993:0.830315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.239289:0.839269:0.247785:0.839269:0.247785:0.822771:0.239289:0.822771:0.000000 4:@0.239289:0.855608:0.247785:0.855608:0.247785:0.839110:0.239289:0.839110:0.000000 2:@0.258944:0.832917:0.263897:0.832917:0.263897:0.823299:0.258944:0.823299:0.000000 – :@0.233786:0.882021:0.248524:0.882021:0.248524:0.865523:0.233786:0.865523:0.000000:0.000000 1:@0.251407:0.873216:0.259903:0.873216:0.259903:0.856719:0.251407:0.856719:0.000000 4:@0.251407:0.889555:0.259903:0.889555:0.259903:0.873057:0.251407:0.873057:0.000000 9:@0.308784:0.642544:0.317280:0.642544:0.317280:0.626047:0.308784:0.626047:0.000000 2:@0.308996:0.658999:0.317068:0.658999:0.317068:0.642530:0.308996:0.642530:0.000000 9:@0.546246:0.642507:0.554742:0.642507:0.554742:0.626009:0.546246:0.626009:0.000000 2:@0.546458:0.658961:0.554530:0.658961:0.554530:0.642492:0.546458:0.642492:0.000000 1:@0.241696:0.426222:0.250192:0.426222:0.250192:0.409724:0.241696:0.409724:0.000000 | |:@0.237371:0.442302:0.254516:0.442302:0.254516:0.427480:0.237371:0.427480:0.000000:0.000000:0.000000 x:@0.242207:0.442682:0.249682:0.442682:0.249682:0.426214:0.242207:0.426214:0.000000 1:@0.536604:0.304689:0.545100:0.304689:0.545100:0.288191:0.536604:0.288191:0.000000 x:@0.537124:0.321143:0.544599:0.321143:0.544599:0.304674:0.537124:0.304674:0.000000 p:@0.627871:0.778446:0.639466:0.778446:0.639466:0.768322:0.627871:0.768322:0.000000 :@0.639467:0.779161:0.642377:0.779161:0.642377:0.767570:0.639467:0.767570:0.000000 Figura 2.5.:@0.642377:0.779161:0.691431:0.779161:0.691431:0.767570:0.642377:0.767570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 163560095:@0.873679:0.416246:0.873679:0.348072:0.862210:0.348072:0.862210:0.416246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota V:@0.677903:0.568008:0.722043:0.568008:0.722043:0.557966:0.677903:0.557966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.725162:0.667287:0.728856:0.667287:0.728856:0.660114:0.725162:0.660114:0.000000 y:@0.721123:0.549503:0.725204:0.549503:0.725204:0.540896:0.721123:0.540896:0.000000 x:@0.849027:0.670189:0.853199:0.670189:0.853199:0.661582:0.849027:0.661582:0.000000 1:@0.723373:0.647951:0.727067:0.647951:0.727067:0.640778:0.723373:0.640778:0.000000 1:@0.748727:0.668628:0.752421:0.668628:0.752421:0.661455:0.748727:0.661455:0.000000 –1:@0.707265:0.668628:0.715524:0.668628:0.715524:0.661455:0.707265:0.661455:0.000000:0.000000 –2:@0.687556:0.668628:0.695815:0.668628:0.695815:0.661455:0.687556:0.661455:0.000000:0.000000 –3:@0.667847:0.668628:0.676106:0.668628:0.676106:0.661455:0.667847:0.661455:0.000000:0.000000 –4:@0.648138:0.668628:0.656397:0.668628:0.656397:0.661455:0.648138:0.661455:0.000000:0.000000 2:@0.768428:0.668628:0.772122:0.668628:0.772122:0.661455:0.768428:0.661455:0.000000 3:@0.788137:0.668628:0.791831:0.668628:0.791831:0.661455:0.788137:0.661455:0.000000 4:@0.807847:0.668628:0.811541:0.668628:0.811541:0.661455:0.807847:0.661455:0.000000 5:@0.827556:0.668628:0.831250:0.668628:0.831250:0.661455:0.827556:0.661455:0.000000 –1:@0.718808:0.679114:0.727067:0.679114:0.727067:0.671941:0.718808:0.671941:0.000000:0.000000 –2:@0.718808:0.693906:0.727067:0.693906:0.727067:0.686733:0.718808:0.686733:0.000000:0.000000 –3:@0.718808:0.708698:0.727067:0.708698:0.727067:0.701525:0.718808:0.701525:0.000000:0.000000 –4:@0.718808:0.723490:0.727067:0.723490:0.727067:0.716317:0.718808:0.716317:0.000000:0.000000 –5:@0.718808:0.738282:0.727067:0.738282:0.727067:0.731109:0.718808:0.731109:0.000000:0.000000 –6:@0.718808:0.753074:0.727067:0.753074:0.727067:0.745901:0.718808:0.745901:0.000000:0.000000 2:@0.723373:0.633165:0.727067:0.633165:0.727067:0.625993:0.723373:0.625993:0.000000 3:@0.723373:0.618373:0.727067:0.618373:0.727067:0.611200:0.723373:0.611200:0.000000 4:@0.723373:0.603581:0.727067:0.603581:0.727067:0.596408:0.723373:0.596408:0.000000 5:@0.723373:0.588789:0.727067:0.588789:0.727067:0.581616:0.723373:0.581616:0.000000 6:@0.723373:0.573997:0.727067:0.573997:0.727067:0.566824:0.723373:0.566824:0.000000 asíntota O:@0.797472:0.584663:0.843147:0.584663:0.843147:0.574620:0.797472:0.574620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.684804:0.106800:0.831589:0.106800:0.831589:0.091327:0.684804:0.091327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática :@0.685042:0.135849:0.777055:0.135849:0.777055:0.120377:0.685042:0.120377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y Electricidad:@0.638498:0.151691:0.733571:0.151691:0.733571:0.136219:0.638498:0.136219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las funciones racionales :@0.638498:0.167111:0.798283:0.167111:0.798283:0.152048:0.638498:0.152048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 permiten modelar problemas :@0.638498:0.182953:0.832972:0.182953:0.832972:0.167890:0.638498:0.167890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relacionados con la corriente :@0.638498:0.198795:0.828768:0.198795:0.828768:0.183732:0.638498:0.183732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que circula por un conductor :@0.638498:0.214637:0.833781:0.214637:0.833781:0.199574:0.638498:0.199574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 eléctrico y la variación inver-:@0.638498:0.230479:0.821663:0.230479:0.821663:0.215416:0.638498:0.215416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 samente proporcional de la :@0.638498:0.246321:0.819990:0.246321:0.819990:0.231258:0.638498:0.231258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resistencia del conductor.:@0.638498:0.262163:0.802383:0.262163:0.802383:0.247100:0.638498:0.247100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Responde:@0.638503:0.441983:0.707456:0.441983:0.707456:0.426511:0.638503:0.426511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 : ¿qué es un conduc-:@0.707456:0.441561:0.838695:0.441561:0.838695:0.426498:0.707456:0.426498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tor eléctrico?:@0.638503:0.457403:0.722476:0.457403:0.722476:0.442340:0.638503:0.442340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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