60:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000 Luego,:@0.427971:0.106886:0.473938:0.106886:0.473938:0.090389:0.427971:0.090389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(x):@0.481683:0.107002:0.504319:0.107002:0.504319:0.090533:0.481683:0.090533:0.000000:0.000000:0.000000:0.000000 cuando ∞. Consecuentemente, la gráfica :@0.504319:0.106886:0.895913:0.106886:0.895913:0.090389:0.504319:0.090389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 →:@0.512091:0.114473:0.527534:0.114473:0.527534:0.095474:0.512091:0.095474:0.000000 0:@0.535296:0.107002:0.543368:0.107002:0.543368:0.090533:0.535296:0.090533:0.000000 x:@0.612935:0.107002:0.620410:0.107002:0.620410:0.090533:0.612935:0.090533:0.000000 →:@0.628155:0.114473:0.643598:0.114473:0.643598:0.095474:0.628155:0.095474:0.000000 de tiene una :@0.427979:0.124237:0.536616:0.124237:0.536616:0.107739:0.427979:0.107739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.452446:0.124353:0.456742:0.124353:0.456742:0.107884:0.452446:0.107884:0.000000 asíntota horizontal:@0.539082:0.124700:0.688461:0.124700:0.688461:0.107754:0.539082:0.107754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 definida como el conjunto :@0.688461:0.124237:0.895911:0.124237:0.895911:0.107739:0.688461:0.107739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404245:0.141588:0.408387:0.141588:0.408387:0.125090:0.404245:0.125090:0.000000 H:@0.427979:0.141703:0.439346:0.141703:0.439346:0.125235:0.427979:0.125235:0.000000 = {( , ) | :@0.439346:0.141588:0.511687:0.141588:0.511687:0.125090:0.439346:0.125090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x 0 x :@0.470132:0.141703:0.523246:0.141703:0.523246:0.125235:0.470132:0.125235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.523169:0.141371:0.539217:0.141371:0.539217:0.126724:0.523169:0.126724:0.000000 :@0.539217:0.141069:0.543614:0.141069:0.543614:0.127696:0.539217:0.127696:0.000000 :@0.543547:0.140501:0.556852:0.140501:0.556852:0.127639:0.543547:0.127639:0.000000 } que representa una recta horizontal que coin-:@0.556852:0.141588:0.891813:0.141588:0.891813:0.125090:0.556852:0.125090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cide con el eje , que también se escribe como = 0.:@0.427987:0.158939:0.799049:0.158939:0.799049:0.142441:0.427987:0.142441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.532653:0.159054:0.540128:0.159054:0.540128:0.142585:0.532653:0.142585:0.000000 y:@0.761020:0.159054:0.768706:0.159054:0.768706:0.142585:0.761020:0.142585:0.000000 :@0.404252:0.193640:0.408394:0.193640:0.408394:0.177142:0.404252:0.177142:0.000000 Considerando el dominio de la función , en el eje se identifican :@0.427987:0.193640:0.895901:0.193640:0.895901:0.177142:0.427987:0.177142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.710758:0.193756:0.715055:0.193756:0.715055:0.177287:0.710758:0.177287:0.000000 x:@0.786147:0.193756:0.793622:0.193756:0.793622:0.177287:0.786147:0.177287:0.000000 dos regiones: < y > –2. Veamos en la Figura 2.3. algunos valo-:@0.427987:0.210991:0.891775:0.210991:0.891775:0.194493:0.427987:0.194493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x –2 x :@0.521208:0.211106:0.590913:0.211106:0.590913:0.194638:0.521208:0.194638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 res que toma la función en cada una de estas regiones.:@0.427987:0.228342:0.812015:0.228342:0.812015:0.211844:0.427987:0.211844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.595706:0.228457:0.600003:0.228457:0.600003:0.211988:0.595706:0.211988:0.000000 :@0.404252:0.404698:0.408394:0.404698:0.408394:0.388200:0.404252:0.388200:0.000000 En la región en la que > –2, tenemos que la función es estricta-:@0.427987:0.404698:0.891798:0.404698:0.891798:0.388200:0.427987:0.388200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.583650:0.404813:0.595074:0.404813:0.595074:0.388344:0.583650:0.388344:0.000000:0.000000 f:@0.807526:0.404813:0.811822:0.404813:0.811822:0.388344:0.807526:0.388344:0.000000 mente decreciente al igual que en la región en que < . Así, es :@0.428006:0.422048:0.895940:0.422048:0.895940:0.405551:0.428006:0.405551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x –2:@0.789382:0.422164:0.833232:0.422164:0.833232:0.405695:0.789382:0.405695:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.869125:0.422164:0.873421:0.422164:0.873421:0.405695:0.869125:0.405695:0.000000 decreciente en el conjunto :@0.428006:0.439399:0.621948:0.439399:0.621948:0.422901:0.428006:0.422901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.621920:0.438313:0.635225:0.438313:0.635225:0.425451:0.621920:0.425451:0.000000 :@0.635225:0.438431:0.640041:0.438431:0.640041:0.424984:0.635225:0.424984:0.000000 \:@0.640935:0.439515:0.646753:0.439515:0.642883:0.423047:0.637065:0.423047:0.000000 :@0.645859:0.439515:0.650001:0.439515:0.650001:0.423047:0.645859:0.423047:0.000000 {–2}.:@0.650001:0.439400:0.683465:0.439400:0.683465:0.422902:0.650001:0.422902:0.000000:0.000000:0.000000:0.000000:0.000000 2.:@0.404235:0.474318:0.416506:0.474318:0.416506:0.457603:0.404235:0.457603:0.000000:0.000000 Sean :@0.416506:0.474101:0.465768:0.474101:0.465768:0.457603:0.416506:0.457603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p, q:@0.465768:0.474217:0.490774:0.474217:0.490774:0.457748:0.465768:0.457748:0.000000:0.000000:0.000000:0.000000 los polinomios definidos como:@0.490774:0.474101:0.715865:0.474101:0.715865:0.457603:0.490774:0.457603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404235:0.491452:0.408377:0.491452:0.408377:0.474954:0.404235:0.474954:0.000000 p x:@0.427969:0.491568:0.450664:0.491568:0.450664:0.475099:0.427969:0.475099:0.000000:0.000000:0.000000 ( ) = , ( ) = ( – 2)( – 3) :@0.437236:0.491452:0.649674:0.491452:0.649674:0.474954:0.437236:0.474954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x q x:@0.472607:0.491568:0.515780:0.491568:0.515780:0.475099:0.472607:0.475099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.537723:0.491568:0.560456:0.491568:0.560456:0.475099:0.537723:0.475099:0.000000:0.000000:0.000000:0.000000 x :@0.597581:0.491568:0.609198:0.491568:0.609198:0.475099:0.597581:0.475099:0.000000:0.000000 x :@0.650714:0.491568:0.662331:0.491568:0.662331:0.475099:0.650714:0.475099:0.000000:0.000000 :@0.663352:0.491235:0.679400:0.491235:0.679400:0.476588:0.663352:0.476588:0.000000 :@0.679408:0.490933:0.683805:0.490933:0.683805:0.477560:0.679408:0.477560:0.000000 :@0.684902:0.490365:0.698207:0.490365:0.698207:0.477503:0.684902:0.477503:0.000000 . La función racional está :@0.698207:0.491452:0.895942:0.491452:0.895942:0.474954:0.698207:0.474954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.848994:0.491568:0.858203:0.491568:0.858203:0.475099:0.848994:0.475099:0.000000 definida como sigue::@0.427973:0.508803:0.574677:0.508803:0.574677:0.492305:0.427973:0.492305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404239:0.536839:0.408381:0.536839:0.408381:0.520341:0.404239:0.520341:0.000000 u x:@0.427973:0.536954:0.450610:0.536954:0.450610:0.520486:0.427973:0.520486:0.000000:0.000000:0.000000 ( ) = = :@0.437182:0.536839:0.656286:0.536839:0.656286:0.520341:0.437182:0.520341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.656286:0.536954:0.667903:0.536954:0.667903:0.520486:0.656286:0.520486:0.000000:0.000000 :@0.667903:0.536622:0.683951:0.536622:0.683951:0.521975:0.667903:0.521975:0.000000 :@0.683953:0.536326:0.688350:0.536326:0.688350:0.522952:0.683953:0.522952:0.000000 :@0.688350:0.535757:0.701655:0.535757:0.701655:0.522895:0.688350:0.522895:0.000000 \ :@0.701655:0.536960:0.715757:0.536960:0.715757:0.520491:0.701655:0.520491:0.000000:0.000000:0.000000 {2, 3}.:@0.715757:0.536844:0.754114:0.536844:0.754114:0.520347:0.715757:0.520347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404238:0.554195:0.408380:0.554195:0.408380:0.537697:0.404238:0.537697:0.000000 Existen:@0.427973:0.575103:0.477889:0.575103:0.477889:0.558605:0.427973:0.558605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos asíntotas verticales:@0.482031:0.575565:0.660595:0.575565:0.660595:0.558619:0.482031:0.558619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y a la gráfica de ::@0.660595:0.575103:0.823127:0.575110:0.823127:0.558613:0.660595:0.558605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.664737:0.575218:0.674312:0.575218:0.674312:0.558750:0.664737:0.558750:0.000000 1:@0.674318:0.578388:0.679272:0.578388:0.679272:0.568770:0.674318:0.568770:0.000000 R:@0.695378:0.575226:0.704953:0.575226:0.704953:0.558757:0.695378:0.558757:0.000000 2:@0.704952:0.578388:0.709905:0.578388:0.709905:0.568770:0.704952:0.568770:0.000000 f:@0.814822:0.575226:0.819118:0.575226:0.819118:0.558757:0.814822:0.558757:0.000000 :@0.404243:0.609812:0.408385:0.609812:0.408385:0.593314:0.404243:0.593314:0.000000 R:@0.427978:0.609927:0.437553:0.609927:0.437553:0.593459:0.427978:0.593459:0.000000 1:@0.437555:0.613090:0.442508:0.613090:0.442508:0.603472:0.437555:0.603472:0.000000 = {(2, ) | :@0.442507:0.609812:0.527563:0.609812:0.527563:0.593314:0.442507:0.593314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y y:@0.488801:0.609927:0.523421:0.609927:0.523421:0.593459:0.488801:0.593459:0.000000:0.000000:0.000000 :@0.527563:0.609595:0.543611:0.609595:0.543611:0.594948:0.527563:0.594948:0.000000 :@0.543609:0.609293:0.548007:0.609293:0.548007:0.595920:0.543609:0.595920:0.000000 :@0.548007:0.608725:0.561312:0.608725:0.561312:0.595863:0.548007:0.595863:0.000000 } o x = 2, = {(3, ) | :@0.561312:0.609812:0.743619:0.609812:0.743619:0.593314:0.561312:0.593314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.644037:0.609927:0.653612:0.609927:0.653612:0.593459:0.644037:0.593459:0.000000 2:@0.653609:0.613090:0.658562:0.613090:0.658562:0.603472:0.653609:0.603472:0.000000 y y:@0.704857:0.609927:0.739477:0.609927:0.739477:0.593459:0.704857:0.593459:0.000000:0.000000:0.000000 :@0.743619:0.609595:0.759667:0.609595:0.759667:0.594948:0.743619:0.594948:0.000000 :@0.759663:0.609293:0.764061:0.609293:0.764061:0.595920:0.759663:0.595920:0.000000 :@0.764061:0.608725:0.777366:0.608725:0.777366:0.595863:0.764061:0.595863:0.000000 } o = 3.:@0.777366:0.609812:0.838860:0.609812:0.838860:0.593314:0.777366:0.593314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.801043:0.609927:0.808518:0.609927:0.808518:0.593459:0.801043:0.593459:0.000000 :@0.404236:0.627162:0.441514:0.627162:0.441514:0.610665:0.404236:0.610665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.404236:0.644513:0.408378:0.644513:0.408378:0.628016:0.404236:0.628016:0.000000 Por otra parte, ( ) 0 cuando | | ∞, que muestra que esta :@0.427971:0.644513:0.895940:0.644513:0.895940:0.628016:0.427971:0.628016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u x:@0.538457:0.644629:0.561094:0.644629:0.561094:0.628160:0.538457:0.628160:0.000000:0.000000:0.000000 →:@0.572715:0.652100:0.588157:0.652100:0.588157:0.633101:0.572715:0.633101:0.000000 x:@0.672769:0.644629:0.680244:0.644629:0.680244:0.628160:0.672769:0.628160:0.000000 →:@0.690913:0.652100:0.706356:0.652100:0.706356:0.633101:0.690913:0.633101:0.000000 función racional tiene una :@0.427989:0.661864:0.631507:0.661864:0.631507:0.645366:0.427989:0.645366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.547358:0.661980:0.556567:0.661980:0.556567:0.645511:0.547358:0.645511:0.000000 asíntota horizontal:@0.631507:0.662327:0.778497:0.662327:0.778497:0.645381:0.631507:0.645381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.778497:0.661864:0.796760:0.661864:0.796760:0.645366:0.778497:0.645366:0.000000:0.000000:0.000000 H:@0.782639:0.661980:0.794005:0.661980:0.794005:0.645511:0.782639:0.645511:0.000000 :@0.404254:0.696565:0.408396:0.696565:0.408396:0.680068:0.404254:0.680068:0.000000 H:@0.564175:0.696681:0.575541:0.696681:0.575541:0.680212:0.564175:0.680212:0.000000 = {( , 0) | :@0.575541:0.696565:0.660173:0.696565:0.660173:0.680068:0.575541:0.680068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.606443:0.696681:0.613918:0.696681:0.613918:0.680212:0.606443:0.680212:0.000000 x:@0.648556:0.696681:0.656031:0.696681:0.656031:0.680212:0.648556:0.680212:0.000000 :@0.660173:0.696349:0.676221:0.696349:0.676221:0.681702:0.660173:0.681702:0.000000 :@0.676193:0.696047:0.680590:0.696047:0.680590:0.682674:0.676193:0.682674:0.000000 :@0.680590:0.695479:0.693895:0.695479:0.693895:0.682616:0.680590:0.682616:0.000000 } o = 0.:@0.693895:0.696565:0.755602:0.696565:0.755602:0.680068:0.693895:0.680068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.717572:0.696681:0.725259:0.696681:0.725259:0.680212:0.717572:0.680212:0.000000 :@0.404242:0.731267:0.408384:0.731267:0.408384:0.714769:0.404242:0.714769:0.000000 Según el dominio de la función :@0.427977:0.731267:0.669852:0.731267:0.669852:0.714769:0.427977:0.714769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u,:@0.653956:0.731383:0.665708:0.731383:0.665708:0.714914:0.653956:0.714914:0.000000:0.000000 en el eje se identifican tres regiones: :@0.427977:0.748618:0.700058:0.748618:0.700058:0.732120:0.427977:0.732120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.489549:0.748733:0.497024:0.748733:0.497024:0.732265:0.489549:0.732265:0.000000 :@0.404242:0.790448:0.408384:0.790448:0.408384:0.773950:0.404242:0.773950:0.000000 La gráfica de la función se muestra en la Figura 2.4.:@0.427977:0.790448:0.784744:0.790448:0.784744:0.773950:0.427977:0.773950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f (x):@0.481632:0.529591:0.508026:0.529591:0.508026:0.513122:0.481632:0.513122:0.000000:0.000000:0.000000:0.000000:0.000000 q(x):@0.481074:0.545930:0.508584:0.545930:0.508584:0.529461:0.481074:0.529461:0.000000:0.000000:0.000000:0.000000 x:@0.579364:0.529591:0.586839:0.529591:0.586839:0.513122:0.579364:0.513122:0.000000 ( – 2)( – 3):@0.536441:0.545814:0.629762:0.545814:0.629762:0.529316:0.536441:0.529316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.542394:0.545930:0.549869:0.545930:0.549869:0.529461:0.542394:0.529461:0.000000 x:@0.589054:0.545930:0.596529:0.545930:0.596529:0.529461:0.589054:0.529461:0.000000 x < 2,:@0.710926:0.731959:0.776139:0.731959:0.776139:0.715490:0.710926:0.715490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 < x < 3,:@0.710926:0.749309:0.775735:0.749309:0.775735:0.732841:0.710926:0.732841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x > 3.:@0.710926:0.766660:0.775658:0.766660:0.775658:0.750191:0.710926:0.750191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para < –2:@0.153344:0.261512:0.226430:0.261512:0.226430:0.246449:0.153344:0.246449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.184830:0.261617:0.191655:0.261617:0.191655:0.246581:0.184830:0.246581:0.000000 f:@0.153344:0.284588:0.157266:0.284588:0.157266:0.269552:0.153344:0.269552:0.000000 (–5):@0.157266:0.284483:0.185481:0.284483:0.185481:0.269419:0.157266:0.269419:0.000000:0.000000:0.000000:0.000000 = :@0.185481:0.284588:0.255929:0.284588:0.255929:0.269552:0.185481:0.269552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = –1,:@0.255929:0.284483:0.289438:0.284483:0.289438:0.269419:0.255929:0.269419:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.153344:0.311124:0.157266:0.311124:0.157266:0.296087:0.153344:0.296087:0.000000 (–4) :@0.157266:0.311018:0.189263:0.311018:0.189263:0.295955:0.157266:0.295955:0.000000:0.000000:0.000000:0.000000:0.000000 = = – ,:@0.189263:0.311124:0.304108:0.311124:0.304108:0.296087:0.189263:0.296087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.153344:0.337659:0.157266:0.337659:0.157266:0.322622:0.153344:0.322622:0.000000 (–3) = –3,:@0.157266:0.337553:0.288769:0.337553:0.288769:0.322490:0.157266:0.322490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.189263:0.337659:0.202983:0.337659:0.202983:0.322622:0.189263:0.322622:0.000000:0.000000 f:@0.153344:0.364194:0.157266:0.364194:0.157266:0.349158:0.153344:0.349158:0.000000 (–2,5) :@0.157266:0.364089:0.199535:0.364089:0.199535:0.349025:0.157266:0.349025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = = – .:@0.199535:0.364194:0.307010:0.364194:0.307010:0.349158:0.199535:0.349158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.296650:0.364089:0.304407:0.364089:0.304407:0.349025:0.296650:0.349025:0.000000 Para > –2:@0.407397:0.261512:0.480483:0.261512:0.480483:0.246449:0.407397:0.246449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.438883:0.261617:0.445708:0.261617:0.445708:0.246581:0.438883:0.246581:0.000000 f:@0.407397:0.284588:0.411319:0.284588:0.411319:0.269552:0.407397:0.269552:0.000000 (–1,5) = = 6,:@0.411319:0.284483:0.551670:0.284483:0.551670:0.269419:0.411319:0.269419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.407397:0.311124:0.411319:0.311124:0.411319:0.296087:0.407397:0.296087:0.000000 (–1) = = 3,:@0.411319:0.311018:0.533834:0.311018:0.533834:0.295955:0.411319:0.295955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.407397:0.337659:0.411319:0.337659:0.411319:0.322622:0.407397:0.322622:0.000000 (0) = = 1,5,:@0.411319:0.337553:0.524599:0.337553:0.524599:0.322490:0.411319:0.322490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.407397:0.364194:0.411319:0.364194:0.411319:0.349158:0.407397:0.349158:0.000000 (1) = = 1.:@0.411319:0.364089:0.515978:0.364089:0.515978:0.349025:0.411319:0.349025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.223980:0.277550:0.231738:0.277550:0.231738:0.262487:0.223980:0.262487:0.000000 –5 + 2:@0.206601:0.291385:0.249134:0.291385:0.249134:0.276322:0.206601:0.276322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.492000:0.277208:0.499758:0.277208:0.499758:0.262145:0.492000:0.262145:0.000000 –1,5 + 2:@0.469485:0.291043:0.522290:0.291043:0.522290:0.275980:0.469485:0.275980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.223980:0.303943:0.231738:0.303943:0.231738:0.288880:0.223980:0.288880:0.000000 –4 + 2:@0.206601:0.317778:0.249134:0.317778:0.249134:0.302715:0.206601:0.302715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.223980:0.330673:0.231738:0.330673:0.231738:0.315610:0.223980:0.315610:0.000000 –3 + 2:@0.206601:0.344509:0.249134:0.344509:0.249134:0.329446:0.206601:0.329446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.477404:0.303928:0.485161:0.303928:0.485161:0.288865:0.477404:0.288865:0.000000 –1 + 2:@0.460025:0.317763:0.502558:0.317763:0.502558:0.302700:0.460025:0.302700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.463416:0.330480:0.471173:0.330480:0.471173:0.315417:0.463416:0.315417:0.000000 0 + 2:@0.450821:0.344315:0.483767:0.344315:0.483767:0.329252:0.450821:0.329252:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.462928:0.356869:0.470685:0.356869:0.470685:0.341806:0.462928:0.341806:0.000000 1 + 2:@0.450334:0.370705:0.483280:0.370705:0.483280:0.355641:0.450334:0.355641:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.236828:0.356869:0.244585:0.356869:0.244585:0.341806:0.236828:0.341806:0.000000 –2,5 + 2:@0.214313:0.370705:0.267118:0.370705:0.267118:0.355641:0.214313:0.355641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.284869:0.304300:0.292626:0.304300:0.292626:0.289237:0.284869:0.289237:0.000000 2:@0.284869:0.318135:0.292626:0.318135:0.292626:0.303072:0.284869:0.303072:0.000000 Para 3 < :@0.413733:0.825487:0.470408:0.825487:0.470408:0.810424:0.413733:0.810424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.470408:0.825592:0.477233:0.825592:0.477233:0.810556:0.470408:0.810556:0.000000 u:@0.413733:0.848563:0.422141:0.848563:0.422141:0.833526:0.413733:0.833526:0.000000 (3,5) = = 4,7,:@0.422141:0.848458:0.600996:0.848458:0.600996:0.833394:0.422141:0.833394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.413733:0.875098:0.422141:0.875098:0.422141:0.860062:0.413733:0.860062:0.000000 (4) = = 2,:@0.422141:0.874993:0.561542:0.874993:0.561542:0.859930:0.422141:0.859930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.413733:0.901634:0.422141:0.901634:0.422141:0.886597:0.413733:0.886597:0.000000 (5) = = , :@0.422141:0.901528:0.580258:0.901528:0.580258:0.886465:0.422141:0.886465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.413733:0.928169:0.422141:0.928169:0.422141:0.913132:0.413733:0.913132:0.000000 (6) = = 0,5.:@0.422141:0.928064:0.575596:0.928064:0.575596:0.913000:0.422141:0.913000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.491953:0.867678:0.499711:0.867678:0.499711:0.852615:0.491953:0.852615:0.000000 (4–2)(4–3):@0.459869:0.881513:0.531812:0.881513:0.531812:0.866450:0.459869:0.866450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.493734:0.894250:0.501491:0.894250:0.501491:0.879187:0.493734:0.879187:0.000000 (5–2)(5–3):@0.461650:0.908085:0.533593:0.908085:0.533593:0.893022:0.461650:0.893022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.494736:0.920960:0.502493:0.920960:0.502493:0.905897:0.494736:0.905897:0.000000 (6–2)(6–3):@0.462652:0.934795:0.534595:0.934795:0.534595:0.919732:0.462652:0.919732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3,5:@0.507965:0.841156:0.525643:0.841156:0.525643:0.826093:0.507965:0.826093:0.000000:0.000000:0.000000 (3,5–2)(3,5–3):@0.471712:0.854992:0.561914:0.854992:0.561914:0.839929:0.471712:0.839929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.559621:0.894042:0.567379:0.894042:0.567379:0.878979:0.559621:0.878979:0.000000 3:@0.559621:0.907878:0.567379:0.907878:0.567379:0.892814:0.559621:0.892814:0.000000 p:@0.798469:0.365068:0.810064:0.365068:0.810064:0.354944:0.798469:0.354944:0.000000 :@0.810065:0.365783:0.812975:0.365783:0.812975:0.354192:0.810065:0.354192:0.000000 Figura 2.3.:@0.812975:0.365783:0.862029:0.365783:0.862029:0.354192:0.812975:0.354192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.815169:0.927522:0.826764:0.927522:0.826764:0.917398:0.815169:0.917398:0.000000 :@0.826763:0.928237:0.829674:0.928237:0.829674:0.916646:0.826763:0.916646:0.000000 Figura 2.4.:@0.829674:0.928237:0.878728:0.928237:0.878728:0.916646:0.829674:0.916646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Algunos valores para la función :@0.153344:0.591538:0.360217:0.591538:0.360217:0.576475:0.153344:0.576475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del ejercicio 2 son::@0.153344:0.607380:0.271074:0.607380:0.271074:0.592317:0.153344:0.592317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para < 2:@0.153344:0.639064:0.216844:0.639064:0.216844:0.624001:0.153344:0.624001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.184830:0.639170:0.191655:0.639170:0.191655:0.624133:0.184830:0.624133:0.000000 u:@0.153344:0.658576:0.161752:0.658576:0.161752:0.643539:0.153344:0.643539:0.000000 (–3):@0.161752:0.658471:0.189966:0.658471:0.189966:0.643407:0.161752:0.643407:0.000000:0.000000:0.000000:0.000000 = = –:@0.189966:0.658576:0.332463:0.658576:0.332463:0.643539:0.189966:0.643539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,1:@0.332463:0.658471:0.350493:0.658471:0.350493:0.643407:0.332463:0.643407:0.000000:0.000000:0.000000 ,:@0.350493:0.658576:0.353096:0.658576:0.353096:0.643539:0.350493:0.643539:0.000000 u:@0.153344:0.688676:0.161752:0.688676:0.161752:0.673639:0.153344:0.673639:0.000000 (–2):@0.161752:0.688570:0.189966:0.688570:0.189966:0.673507:0.161752:0.673507:0.000000:0.000000:0.000000:0.000000 = = –:@0.189966:0.688676:0.328681:0.688676:0.328681:0.673639:0.189966:0.673639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,1,:@0.328681:0.688570:0.349226:0.688570:0.349226:0.673507:0.328681:0.673507:0.000000:0.000000:0.000000:0.000000 u:@0.153344:0.718776:0.161752:0.718776:0.161752:0.703739:0.153344:0.703739:0.000000 (–1):@0.161752:0.718670:0.189966:0.718670:0.189966:0.703607:0.161752:0.703607:0.000000:0.000000:0.000000:0.000000 = = – ,:@0.189966:0.718776:0.356385:0.718776:0.356385:0.703739:0.189966:0.703739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.153344:0.748876:0.161752:0.748876:0.161752:0.733839:0.153344:0.733839:0.000000 (0):@0.161752:0.748770:0.180380:0.748770:0.180380:0.733707:0.161752:0.733707:0.000000:0.000000:0.000000 = = :@0.180380:0.748876:0.294803:0.748876:0.294803:0.733839:0.180380:0.733839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,:@0.294803:0.748770:0.305075:0.748770:0.305075:0.733707:0.294803:0.733707:0.000000:0.000000 u:@0.153344:0.778975:0.161752:0.778975:0.161752:0.763939:0.153344:0.763939:0.000000 (1):@0.161752:0.778870:0.180380:0.778870:0.180380:0.763807:0.161752:0.763807:0.000000:0.000000:0.000000 = = :@0.180380:0.778975:0.291021:0.778975:0.291021:0.763939:0.180380:0.763939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,5:@0.291021:0.778870:0.309051:0.778870:0.309051:0.763807:0.291021:0.763807:0.000000:0.000000:0.000000 .:@0.309051:0.778975:0.311654:0.778975:0.311654:0.763939:0.309051:0.763939:0.000000 Para 2 < < 3:@0.153344:0.817683:0.242033:0.817683:0.242033:0.802619:0.153344:0.802619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.210019:0.817788:0.216844:0.817788:0.216844:0.802751:0.210019:0.802751:0.000000 u:@0.153344:0.844324:0.161752:0.844324:0.161752:0.829287:0.153344:0.829287:0.000000 (2,25):@0.161752:0.844218:0.198410:0.844218:0.198410:0.829155:0.161752:0.829155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = = –:@0.198410:0.844324:0.342813:0.844324:0.342813:0.829287:0.198410:0.829287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12, :@0.342813:0.844218:0.364625:0.844218:0.364625:0.829155:0.342813:0.829155:0.000000:0.000000:0.000000:0.000000 u:@0.153344:0.874423:0.161752:0.874423:0.161752:0.859387:0.153344:0.859387:0.000000 (2,5):@0.161752:0.874318:0.190652:0.874318:0.190652:0.859255:0.161752:0.859255:0.000000:0.000000:0.000000:0.000000:0.000000 = = –:@0.190652:0.874423:0.324002:0.874423:0.324002:0.859387:0.190652:0.859387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10, :@0.324002:0.874318:0.345814:0.874318:0.345814:0.859255:0.324002:0.859255:0.000000:0.000000:0.000000:0.000000 u:@0.153344:0.904523:0.161752:0.904523:0.161752:0.889486:0.153344:0.889486:0.000000 (2,75):@0.161752:0.904417:0.198410:0.904417:0.198410:0.889354:0.161752:0.889354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = –:@0.198410:0.904523:0.343052:0.904523:0.343052:0.889486:0.198410:0.889486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ≈:@0.322648:0.903955:0.332305:0.903955:0.332305:0.887783:0.322648:0.887783:0.000000 14.:@0.343052:0.904417:0.361082:0.904417:0.361082:0.889354:0.343052:0.889354:0.000000:0.000000:0.000000 –3:@0.247363:0.651245:0.264707:0.651245:0.264707:0.636182:0.247363:0.636182:0.000000:0.000000 (–3–2)(–3–3):@0.210477:0.665080:0.301593:0.665080:0.301593:0.650017:0.210477:0.650017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –2:@0.247363:0.681589:0.264707:0.681589:0.264707:0.666525:0.247363:0.666525:0.000000:0.000000 (–2–2)(–2–3):@0.210477:0.695424:0.301593:0.695424:0.301593:0.680361:0.210477:0.680361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1:@0.247363:0.711526:0.264707:0.711526:0.264707:0.696463:0.247363:0.696463:0.000000:0.000000 (–1–2)(–1–3):@0.210477:0.725361:0.301593:0.725361:0.301593:0.710298:0.210477:0.710298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.234072:0.741880:0.241829:0.741880:0.241829:0.726817:0.234072:0.726817:0.000000 (0–2)(0–3):@0.201988:0.755715:0.273931:0.755715:0.273931:0.740652:0.201988:0.740652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.232080:0.771659:0.239837:0.771659:0.239837:0.756596:0.232080:0.756596:0.000000 (1–2)(1–3):@0.199996:0.785494:0.271939:0.785494:0.271939:0.770431:0.199996:0.770431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.337607:0.711526:0.345364:0.711526:0.345364:0.696463:0.337607:0.696463:0.000000 12:@0.333737:0.725361:0.349251:0.725361:0.349251:0.710298:0.333737:0.710298:0.000000:0.000000 2,25:@0.251665:0.837471:0.276925:0.837471:0.276925:0.822408:0.251665:0.822408:0.000000:0.000000:0.000000:0.000000 (2,25–2)(2,25–3):@0.211613:0.851307:0.316977:0.851307:0.316977:0.836243:0.211613:0.836243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2,75:@0.253222:0.897377:0.278481:0.897377:0.278481:0.882313:0.253222:0.882313:0.000000:0.000000:0.000000:0.000000 (2,75–2)(2,75–3):@0.213169:0.911212:0.318533:0.911212:0.318533:0.896149:0.213169:0.896149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2,5:@0.242767:0.867092:0.260444:0.867092:0.260444:0.852029:0.242767:0.852029:0.000000:0.000000:0.000000 (2,5–2)(2,5–3):@0.206513:0.880927:0.296715:0.880927:0.296715:0.865864:0.206513:0.865864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.758439:0.256753:0.762520:0.256753:0.762520:0.248146:0.758439:0.248146:0.000000 x:@0.854410:0.318779:0.858581:0.318779:0.858581:0.310171:0.854410:0.310171:0.000000 asíntota V:@0.707528:0.274926:0.745362:0.274926:0.745362:0.266319:0.707528:0.266319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota H:@0.700824:0.308798:0.739271:0.308798:0.739271:0.300191:0.700824:0.300191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.761081:0.304753:0.764036:0.304753:0.764036:0.299015:0.761081:0.299015:0.000000 1 2 3 4 5 6 7:@0.774764:0.316170:0.833015:0.316155:0.833015:0.310416:0.774764:0.310431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1:@0.755063:0.316170:0.761335:0.316170:0.761335:0.310431:0.755063:0.310431:0.000000:0.000000 –1:@0.756960:0.319378:0.763232:0.319378:0.763232:0.313640:0.756960:0.313640:0.000000:0.000000 –2:@0.756960:0.326148:0.763232:0.326148:0.763232:0.320409:0.756960:0.320409:0.000000:0.000000 –3:@0.756960:0.332917:0.763232:0.332917:0.763232:0.327179:0.756960:0.327179:0.000000:0.000000 –4:@0.756960:0.339686:0.763232:0.339686:0.763232:0.333948:0.756960:0.333948:0.000000:0.000000 –5:@0.756960:0.346456:0.763232:0.346456:0.763232:0.340717:0.756960:0.340717:0.000000:0.000000 –6:@0.756960:0.353225:0.763232:0.353225:0.763232:0.347487:0.756960:0.347487:0.000000:0.000000 –7:@0.756960:0.359994:0.763232:0.359994:0.763232:0.354256:0.756960:0.354256:0.000000:0.000000 –2:@0.746037:0.316155:0.752309:0.316155:0.752309:0.310416:0.746037:0.310416:0.000000:0.000000 –3:@0.737018:0.316155:0.743290:0.316155:0.743290:0.310416:0.737018:0.310416:0.000000:0.000000 –4:@0.727998:0.316155:0.734270:0.316155:0.734270:0.310416:0.727998:0.310416:0.000000:0.000000 –5:@0.718979:0.316155:0.725251:0.316155:0.725251:0.310416:0.718979:0.310416:0.000000:0.000000 –6:@0.709959:0.316155:0.716231:0.316155:0.716231:0.310416:0.709959:0.310416:0.000000:0.000000 2:@0.761101:0.297878:0.764056:0.297878:0.764056:0.292140:0.761101:0.292140:0.000000 3:@0.761101:0.291019:0.764056:0.291019:0.764056:0.285280:0.761101:0.285280:0.000000 4:@0.761101:0.284159:0.764056:0.284159:0.764056:0.278421:0.761101:0.278421:0.000000 5:@0.761101:0.277299:0.764056:0.277299:0.764056:0.271561:0.761101:0.271561:0.000000 6:@0.761101:0.270439:0.764056:0.270439:0.764056:0.264701:0.761101:0.264701:0.000000 7:@0.761101:0.263579:0.764056:0.263579:0.764056:0.257841:0.761101:0.257841:0.000000 y:@0.712589:0.819743:0.716670:0.819743:0.716670:0.811135:0.712589:0.811135:0.000000 x:@0.867190:0.866680:0.871362:0.866680:0.871362:0.858073:0.867190:0.858073:0.000000 asíntota V:@0.724477:0.907046:0.754497:0.907046:0.754497:0.899873:0.724477:0.899873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.753282:0.908471:0.755436:0.908471:0.755436:0.904289:0.753282:0.904289:0.000000 asíntota V:@0.779048:0.907046:0.809068:0.907046:0.809068:0.899873:0.779048:0.899873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.807853:0.908471:0.810007:0.908471:0.810007:0.904289:0.807853:0.904289:0.000000 x:@0.736922:0.887023:0.740822:0.887023:0.740822:0.878431:0.736922:0.878431:0.000000 = 2:@0.740822:0.886963:0.755216:0.886963:0.755216:0.878356:0.740822:0.878356:0.000000:0.000000:0.000000:0.000000 x:@0.778706:0.887023:0.782606:0.887023:0.782606:0.878431:0.778706:0.878431:0.000000 = 3:@0.782606:0.886963:0.796999:0.886963:0.796999:0.878356:0.782606:0.878356:0.000000:0.000000:0.000000:0.000000 1:@0.715157:0.855312:0.718112:0.855312:0.718112:0.849573:0.715157:0.849573:0.000000 –1:@0.711505:0.867075:0.718112:0.867075:0.718112:0.861337:0.711505:0.861337:0.000000:0.000000 –1:@0.699122:0.865043:0.705327:0.865043:0.705327:0.859305:0.699122:0.859305:0.000000:0.000000 1:@0.738162:0.865043:0.741117:0.865043:0.741117:0.859305:0.738162:0.859305:0.000000 2:@0.756301:0.865043:0.759256:0.865043:0.759256:0.859305:0.756301:0.859305:0.000000 3:@0.774441:0.865043:0.777396:0.865043:0.777396:0.859305:0.774441:0.859305:0.000000 4:@0.792580:0.865043:0.795535:0.865043:0.795535:0.859305:0.792580:0.859305:0.000000 5:@0.810720:0.865043:0.813675:0.865043:0.813675:0.859305:0.810720:0.859305:0.000000 6:@0.828859:0.865043:0.831814:0.865043:0.831814:0.859305:0.828859:0.859305:0.000000 –2:@0.680842:0.865043:0.687047:0.865043:0.687047:0.859305:0.680842:0.859305:0.000000:0.000000 –3:@0.662561:0.865043:0.668767:0.865043:0.668767:0.859305:0.662561:0.859305:0.000000:0.000000 –2:@0.711505:0.872813:0.718112:0.872813:0.718112:0.867075:0.711505:0.867075:0.000000:0.000000 –3:@0.711505:0.878552:0.718112:0.878552:0.718112:0.872813:0.711505:0.872813:0.000000:0.000000 –4:@0.711505:0.884290:0.718112:0.884290:0.718112:0.878552:0.711505:0.878552:0.000000:0.000000 –5:@0.711505:0.890028:0.718112:0.890028:0.718112:0.884290:0.711505:0.884290:0.000000:0.000000 –6:@0.711505:0.895767:0.718112:0.895767:0.718112:0.890028:0.711505:0.890028:0.000000:0.000000 –7:@0.711505:0.901505:0.718112:0.901505:0.718112:0.895767:0.711505:0.895767:0.000000:0.000000 –8:@0.711505:0.907243:0.718112:0.907243:0.718112:0.901505:0.711505:0.901505:0.000000:0.000000 –9:@0.711505:0.912982:0.718112:0.912982:0.718112:0.907243:0.711505:0.907243:0.000000:0.000000 –10:@0.708550:0.918720:0.718112:0.918720:0.718112:0.912982:0.708550:0.912982:0.000000:0.000000:0.000000 –11:@0.708550:0.924458:0.718112:0.924458:0.718112:0.918720:0.708550:0.918720:0.000000:0.000000:0.000000 2:@0.715157:0.849538:0.718112:0.849538:0.718112:0.843800:0.715157:0.843800:0.000000 3:@0.715157:0.843765:0.718112:0.843765:0.718112:0.838026:0.715157:0.838026:0.000000 4:@0.715157:0.837991:0.718112:0.837991:0.718112:0.832253:0.715157:0.832253:0.000000 5:@0.715157:0.832218:0.718112:0.832218:0.718112:0.826479:0.715157:0.826479:0.000000 6:@0.715157:0.826444:0.718112:0.826444:0.718112:0.820706:0.715157:0.820706:0.000000 asíntota H:@0.673977:0.853978:0.704508:0.853978:0.704508:0.846805:0.673977:0.846805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.846908:0.865044:0.849863:0.865044:0.849863:0.859306:0.846908:0.859306:0.000000