28:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
8:@0.054138:0.122645:0.076372:0.122645:0.076372:0.065614:0.054138:0.065614:0.000000
Para ampliar :@0.223875:0.424510:0.309446:0.424510:0.309446:0.409611:0.223875:0.409611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más acerca de :@0.223875:0.439598:0.318038:0.439598:0.318038:0.424699:0.223875:0.424699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este tema, :@0.223875:0.454685:0.291705:0.454685:0.291705:0.439786:0.223875:0.439786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresa:@0.291705:0.454685:0.342599:0.454685:0.342599:0.439573:0.291705:0.439573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.342599:0.454685:0.346268:0.454685:0.346268:0.439786:0.342599:0.439786:0.000000
en el siguiente :@0.223875:0.469773:0.325225:0.469773:0.325225:0.454874:0.223875:0.454874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace::@0.223875:0.484861:0.270648:0.484861:0.270648:0.469962:0.223875:0.469962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.163487:0.405077:0.183456:0.405077:0.183456:0.383351:0.163487:0.383351:0.000000:0.000000:0.000000
www.mayedu.ec/ctm11/p28:@0.139336:0.517187:0.329624:0.517187:0.329624:0.502062:0.139336:0.502062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.373802:0.400841:0.530924:0.400841:0.530924:0.382404:0.373802:0.382404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Completamos:@0.373802:0.420688:0.481604:0.420688:0.481604:0.404064:0.373802:0.404064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla y :@0.481604:0.420688:0.555130:0.420688:0.555130:0.404299:0.481604:0.404299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallamos:@0.555296:0.420688:0.624768:0.420688:0.624768:0.404064:0.555296:0.404064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio y rango de la siguiente :@0.624768:0.420688:0.883934:0.420688:0.883934:0.404299:0.624768:0.404299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función: :@0.373802:0.446661:0.437285:0.446661:0.437285:0.430272:0.373802:0.430272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.448697:0.449217:0.471897:0.449217:0.471897:0.429284:0.448697:0.429284:0.000000:0.000000
=:@0.474559:0.446763:0.484676:0.446763:0.484676:0.431190:0.474559:0.431190:0.000000
+:@0.500735:0.457685:0.510852:0.457685:0.510852:0.442112:0.500735:0.442112:0.000000
1:@0.511736:0.457008:0.520729:0.457008:0.520729:0.440619:0.511736:0.440619:0.000000
fx:@0.439902:0.446085:0.464061:0.446085:0.464061:0.429724:0.439902:0.429724:0.000000:0.000000
x:@0.499589:0.437566:0.507052:0.437566:0.507052:0.421205:0.499589:0.421205:0.000000
x:@0.490159:0.457008:0.497622:0.457008:0.497622:0.440646:0.490159:0.440646:0.000000
El dominio corresponde  al  conjunto de  salida,  por lo  tanto: :@0.373802:0.477522:0.883962:0.477522:0.883962:0.461133:0.373802:0.461133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.535778:0.496247:0.547940:0.496247:0.547940:0.479498:0.535778:0.479498:0.000000
[:@0.528971:0.498747:0.535108:0.498747:0.535108:0.478502:0.528971:0.478502:0.000000
():@0.412857:0.498507:0.433441:0.498507:0.433441:0.478574:0.412857:0.478574:0.000000:0.000000
]:@0.474316:0.498424:0.480453:0.498424:0.480453:0.478803:0.474316:0.478803:0.000000
]:@0.549188:0.498424:0.555324:0.498424:0.555324:0.478803:0.549188:0.478803:0.000000
[:@0.589124:0.498424:0.595260:0.498424:0.595260:0.478803:0.589124:0.478803:0.000000
=∈:@0.436101:0.496053:0.473693:0.496053:0.473693:0.480480:0.436101:0.480480:0.000000:0.000000
∞:@0.494264:0.496053:0.507402:0.496053:0.507402:0.480480:0.494264:0.480480:0.000000
∞:@0.575769:0.496053:0.588908:0.496053:0.588908:0.480480:0.575769:0.480480:0.000000
–,–1:@0.482956:0.495375:0.530739:0.495375:0.530739:0.478986:0.482956:0.478986:0.000000:0.000000:0.000000:0.000000
–1,:@0.555984:0.495375:0.574836:0.495375:0.574836:0.478986:0.555984:0.478986:0.000000:0.000000:0.000000
Domf:@0.376407:0.495375:0.423987:0.495375:0.423987:0.479014:0.376407:0.479014:0.000000:0.000000:0.000000:0.000000
x:@0.450228:0.495375:0.457691:0.495375:0.457691:0.479014:0.450228:0.479014:0.000000
Funciones reales  :@0.115891:0.141978:0.380394:0.141978:0.380394:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.20. Graficar y analizar el dominio, el recorrido, la monotonía, ceros, extremos y paridad de las diferentes funciones reales (función afín a trozos, función :@0.125388:0.069719:0.877675:0.069719:0.877675:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia entera negativa con n = –1, –2, función raíz cuadrada, función valor absoluto de la función afín) utilizando TIC. :@0.125388:0.080280:0.681848:0.080280:0.681848:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Monotonía de las funciones reales:@0.362379:0.171324:0.632874:0.171324:0.632874:0.154423:0.362379:0.154423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función creciente:@0.122469:0.198058:0.263033:0.198058:0.263033:0.181157:0.122469:0.181157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.718352:0.200396:0.745643:0.200396:0.745643:0.180463:0.718352:0.180463:0.000000:0.000000
( ):@0.769765:0.200396:0.799303:0.200396:0.799303:0.180463:0.769765:0.180463:0.000000:0.000000:0.000000
∀:@0.562920:0.197941:0.525530:0.197941:0.525530:0.182368:0.562920:0.182368:0.000000
∈:@0.613448:0.197941:0.576059:0.197941:0.576059:0.182368:0.613448:0.182368:0.000000
<:@0.656477:0.197941:0.666594:0.197941:0.666594:0.182368:0.656477:0.182368:0.000000
⇒:@0.688467:0.197941:0.646803:0.197941:0.646803:0.182368:0.688467:0.182368:0.000000
≤:@0.748307:0.197941:0.706643:0.197941:0.706643:0.182368:0.748307:0.182368:0.000000
,:@0.589216:0.197263:0.592423:0.197263:0.592423:0.181593:0.589216:0.181593:0.000000
,:@0.634861:0.197263:0.638068:0.197263:0.638068:0.181593:0.634861:0.181593:0.000000
1:@0.583442:0.199267:0.588653:0.199267:0.588653:0.190186:0.583442:0.190186:0.000000
2:@0.603391:0.199267:0.608603:0.199267:0.608603:0.190186:0.603391:0.190186:0.000000
1:@0.648361:0.199267:0.653573:0.199267:0.653573:0.190186:0.648361:0.190186:0.000000
2:@0.678777:0.199267:0.683988:0.199267:0.683988:0.190186:0.678777:0.190186:0.000000
1:@0.733746:0.199267:0.738958:0.199267:0.738958:0.190186:0.733746:0.190186:0.000000
2:@0.785836:0.199267:0.791048:0.199267:0.791048:0.190186:0.785836:0.190186:0.000000
x x:@0.575957:0.197263:0.602686:0.197263:0.602686:0.181870:0.575957:0.181870:0.000000:0.000000:0.000000
l x:@0.629564:0.197263:0.648335:0.197263:0.648335:0.181870:0.629564:0.181870:0.000000:0.000000:0.000000
x:@0.670606:0.197263:0.678070:0.197263:0.678070:0.181870:0.670606:0.181870:0.000000
fx:@0.709555:0.197263:0.733714:0.197263:0.733714:0.181870:0.709555:0.181870:0.000000:0.000000
fx:@0.760959:0.197263:0.785118:0.197263:0.785118:0.181870:0.760959:0.181870:0.000000:0.000000
Función estrictamente creciente:@0.122471:0.226569:0.377616:0.226569:0.377616:0.209669:0.122471:0.209669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.718352:0.228908:0.745643:0.228908:0.745643:0.208974:0.718352:0.208974:0.000000:0.000000
( ):@0.769765:0.228908:0.799303:0.228908:0.799303:0.208974:0.769765:0.208974:0.000000:0.000000:0.000000
∀:@0.562920:0.226454:0.525530:0.226454:0.525530:0.210881:0.562920:0.210881:0.000000
∈:@0.613448:0.226454:0.576059:0.226454:0.576059:0.210881:0.613448:0.210881:0.000000
<:@0.656477:0.226454:0.666594:0.226454:0.666594:0.210881:0.656477:0.210881:0.000000
⇒:@0.688467:0.226454:0.706655:0.226454:0.706655:0.210881:0.688467:0.210881:0.000000
<:@0.748302:0.226454:0.758419:0.226454:0.758419:0.210881:0.748302:0.210881:0.000000
,:@0.589198:0.225776:0.592404:0.225776:0.592404:0.210106:0.589198:0.210106:0.000000
,:@0.634843:0.225776:0.638049:0.225776:0.638049:0.210106:0.634843:0.210106:0.000000
1:@0.583442:0.227779:0.588653:0.227779:0.588653:0.218697:0.583442:0.218697:0.000000
2:@0.603391:0.227779:0.608603:0.227779:0.608603:0.218697:0.603391:0.218697:0.000000
1:@0.648361:0.227779:0.653573:0.227779:0.653573:0.218697:0.648361:0.218697:0.000000
2:@0.678777:0.227779:0.683988:0.227779:0.683988:0.218697:0.678777:0.218697:0.000000
1:@0.733746:0.227779:0.738958:0.227779:0.738958:0.218697:0.733746:0.218697:0.000000
2:@0.785836:0.227779:0.791048:0.227779:0.791048:0.218697:0.785836:0.218697:0.000000
x x:@0.575957:0.225776:0.602686:0.225776:0.602686:0.210383:0.575957:0.210383:0.000000:0.000000:0.000000
l x:@0.629564:0.225776:0.648335:0.225776:0.648335:0.210383:0.629564:0.210383:0.000000:0.000000:0.000000
x:@0.670606:0.225776:0.678070:0.225776:0.678070:0.210383:0.670606:0.210383:0.000000
fx:@0.709555:0.225776:0.733714:0.225776:0.733714:0.210383:0.709555:0.210383:0.000000:0.000000
fx:@0.760959:0.225776:0.785118:0.225776:0.785118:0.210383:0.760959:0.210383:0.000000:0.000000
Función decreciente:@0.122471:0.255082:0.283250:0.255082:0.283250:0.238182:0.122471:0.238182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.718352:0.257420:0.745643:0.257420:0.745643:0.237486:0.718352:0.237486:0.000000:0.000000
( ):@0.769765:0.257420:0.799303:0.257420:0.799303:0.237486:0.769765:0.237486:0.000000:0.000000:0.000000
∀:@0.562920:0.254966:0.525530:0.254966:0.525530:0.239393:0.562920:0.239393:0.000000
∈:@0.613448:0.254966:0.576059:0.254966:0.576059:0.239393:0.613448:0.239393:0.000000
<:@0.656477:0.254966:0.666594:0.254966:0.666594:0.239393:0.656477:0.239393:0.000000
⇒:@0.688467:0.254966:0.646803:0.254966:0.646803:0.239393:0.688467:0.239393:0.000000
≥:@0.748307:0.254966:0.706643:0.254966:0.706643:0.239393:0.748307:0.239393:0.000000
,:@0.589216:0.254288:0.592423:0.254288:0.592423:0.238618:0.589216:0.238618:0.000000
,:@0.634861:0.254288:0.638068:0.254288:0.638068:0.238618:0.634861:0.238618:0.000000
1:@0.583442:0.256292:0.588653:0.256292:0.588653:0.247210:0.583442:0.247210:0.000000
2:@0.603391:0.256292:0.608603:0.256292:0.608603:0.247210:0.603391:0.247210:0.000000
1:@0.648361:0.256292:0.653573:0.256292:0.653573:0.247210:0.648361:0.247210:0.000000
2:@0.678777:0.256292:0.683988:0.256292:0.683988:0.247210:0.678777:0.247210:0.000000
1:@0.733746:0.256292:0.738958:0.256292:0.738958:0.247210:0.733746:0.247210:0.000000
2:@0.785836:0.256292:0.791048:0.256292:0.791048:0.247210:0.785836:0.247210:0.000000
x x:@0.575957:0.254288:0.602686:0.254288:0.602686:0.238895:0.575957:0.238895:0.000000:0.000000:0.000000
l x:@0.629564:0.254288:0.648335:0.254288:0.648335:0.238895:0.629564:0.238895:0.000000:0.000000:0.000000
x:@0.670606:0.254288:0.678070:0.254288:0.678070:0.238895:0.670606:0.238895:0.000000
fx:@0.709555:0.254288:0.733714:0.254288:0.733714:0.238895:0.709555:0.238895:0.000000:0.000000
fx:@0.760959:0.254288:0.785118:0.254288:0.785118:0.238895:0.760959:0.238895:0.000000:0.000000
Función estrictamente decreciente:@0.122474:0.283589:0.397835:0.283589:0.397835:0.266689:0.122474:0.266689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.718352:0.285931:0.745643:0.285931:0.745643:0.265998:0.718352:0.265998:0.000000:0.000000
( ):@0.769765:0.285931:0.799303:0.285931:0.799303:0.265998:0.769765:0.265998:0.000000:0.000000:0.000000
∀:@0.562920:0.283477:0.525530:0.283477:0.525530:0.267904:0.562920:0.267904:0.000000
∈:@0.613448:0.283477:0.576059:0.283477:0.576059:0.267904:0.613448:0.267904:0.000000
<:@0.656477:0.283477:0.666594:0.283477:0.666594:0.267904:0.656477:0.267904:0.000000
⇒:@0.688467:0.283477:0.706655:0.283477:0.706655:0.267904:0.688467:0.267904:0.000000
>:@0.748302:0.283477:0.758419:0.283477:0.758419:0.267904:0.748302:0.267904:0.000000
,:@0.589198:0.282800:0.592404:0.282800:0.592404:0.267130:0.589198:0.267130:0.000000
,:@0.634843:0.282800:0.638049:0.282800:0.638049:0.267130:0.634843:0.267130:0.000000
1:@0.583442:0.284804:0.588653:0.284804:0.588653:0.275722:0.583442:0.275722:0.000000
2:@0.603391:0.284804:0.608603:0.284804:0.608603:0.275722:0.603391:0.275722:0.000000
1:@0.648361:0.284804:0.653573:0.284804:0.653573:0.275722:0.648361:0.275722:0.000000
2:@0.678777:0.284804:0.683988:0.284804:0.683988:0.275722:0.678777:0.275722:0.000000
1:@0.733746:0.284804:0.738958:0.284804:0.738958:0.275722:0.733746:0.275722:0.000000
2:@0.785836:0.284804:0.791048:0.284804:0.791048:0.275722:0.785836:0.275722:0.000000
x x:@0.575957:0.282800:0.602686:0.282800:0.602686:0.267407:0.575957:0.267407:0.000000:0.000000:0.000000
l x:@0.629564:0.282800:0.648335:0.282800:0.648335:0.267407:0.629564:0.267407:0.000000:0.000000:0.000000
x:@0.670606:0.282800:0.678070:0.282800:0.678070:0.267407:0.670606:0.267407:0.000000
fx:@0.709555:0.282800:0.733714:0.282800:0.733714:0.267407:0.709555:0.267407:0.000000:0.000000
fx:@0.760959:0.282800:0.785118:0.282800:0.785118:0.267407:0.760959:0.267407:0.000000:0.000000
Función real a trozos:@0.415673:0.310322:0.579585:0.310322:0.579585:0.293421:0.415673:0.293421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.387398:0.348598:0.363535:0.348598:0.363535:0.331850:0.387398:0.331850:0.000000
:@0.424567:0.348598:0.400703:0.348598:0.400703:0.331850:0.424567:0.331850:0.000000
,:@0.438701:0.347727:0.441907:0.347727:0.441907:0.332057:0.438701:0.332057:0.000000
,:@0.550004:0.337506:0.553210:0.337506:0.553210:0.321836:0.550004:0.321836:0.000000
.:@0.554132:0.337506:0.557338:0.337506:0.557338:0.321836:0.554132:0.321836:0.000000
,:@0.554500:0.358252:0.557707:0.358252:0.557707:0.342582:0.554500:0.342582:0.000000
.:@0.558628:0.358252:0.561834:0.358252:0.561834:0.342582:0.558628:0.342582:0.000000
1:@0.508331:0.339515:0.513542:0.339515:0.513542:0.330434:0.508331:0.330434:0.000000
1:@0.544246:0.339515:0.549458:0.339515:0.549458:0.330434:0.544246:0.330434:0.000000
0:@0.592828:0.339515:0.598040:0.339515:0.598040:0.330434:0.592828:0.330434:0.000000
2:@0.509014:0.360259:0.514226:0.360259:0.514226:0.351177:0.509014:0.351177:0.000000
2:@0.547178:0.360259:0.552390:0.360259:0.552390:0.351177:0.547178:0.351177:0.000000
0:@0.597331:0.360259:0.602542:0.360259:0.602542:0.351177:0.597331:0.351177:0.000000
fx:@0.443258:0.347727:0.467416:0.347727:0.467416:0.332334:0.443258:0.332334:0.000000:0.000000
ax b x x:@0.500107:0.337506:0.592123:0.337506:0.592123:0.322113:0.500107:0.322113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax b x x:@0.500107:0.358252:0.596623:0.358252:0.596623:0.342858:0.500107:0.342858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.452053:0.350859:0.475253:0.350859:0.475253:0.330925:0.452053:0.330925:0.000000:0.000000
→:@0.403471:0.348404:0.421659:0.348404:0.421659:0.332831:0.403471:0.332831:0.000000
=⎨:@0.477918:0.348404:0.499685:0.348680:0.499685:0.333107:0.477918:0.332831:0.000000:0.000000
+:@0.524301:0.338184:0.534417:0.338184:0.534417:0.322611:0.524301:0.322611:0.000000
≤:@0.570536:0.338184:0.580652:0.338184:0.580652:0.322611:0.570536:0.322611:0.000000
+ ⎩:@0.526547:0.358934:0.499685:0.360629:0.499685:0.345056:0.526547:0.343361:0.000000:0.000000:0.000000
>:@0.575030:0.358934:0.536664:0.358934:0.536664:0.343361:0.575030:0.343361:0.000000
⎧:@0.490581:0.337090:0.499685:0.337090:0.499685:0.321517:0.490581:0.321517:0.000000
x:@0.438118:0.684720:0.447221:0.684720:0.447221:0.667819:0.438118:0.667819:0.000000
f(x):@0.486619:0.684720:0.512695:0.684720:0.512695:0.667819:0.486619:0.667819:0.000000:0.000000:0.000000:0.000000
1:@0.438173:0.708591:0.447166:0.708591:0.447166:0.692202:0.438173:0.692202:0.000000
1/2:@0.487430:0.708591:0.511884:0.708591:0.511884:0.692202:0.487430:0.692202:0.000000:0.000000:0.000000
2:@0.438173:0.731397:0.447166:0.731397:0.447166:0.715008:0.438173:0.715008:0.000000
2/3:@0.487430:0.731397:0.511884:0.731397:0.511884:0.715008:0.487430:0.715008:0.000000:0.000000:0.000000
3:@0.438173:0.754203:0.447166:0.754203:0.447166:0.737814:0.438173:0.737814:0.000000
3/4:@0.487430:0.754203:0.511884:0.754203:0.511884:0.737814:0.487430:0.737814:0.000000:0.000000:0.000000
4:@0.438173:0.777009:0.447166:0.777009:0.447166:0.760621:0.438173:0.760621:0.000000
4/5:@0.487430:0.777009:0.511884:0.777009:0.511884:0.760621:0.487430:0.760621:0.000000:0.000000:0.000000
5:@0.438173:0.799816:0.447166:0.799816:0.447166:0.783427:0.438173:0.783427:0.000000
5/6:@0.487430:0.799816:0.511884:0.799816:0.511884:0.783427:0.487430:0.783427:0.000000:0.000000:0.000000
0:@0.438173:0.822622:0.447166:0.822622:0.447166:0.806233:0.438173:0.806233:0.000000
0:@0.495151:0.822622:0.504144:0.822622:0.504144:0.806233:0.495151:0.806233:0.000000
–2:@0.433566:0.845428:0.451773:0.845428:0.451773:0.829039:0.433566:0.829039:0.000000:0.000000
2:@0.495151:0.845428:0.504144:0.845428:0.504144:0.829039:0.495151:0.829039:0.000000
–3:@0.433566:0.868220:0.451773:0.868220:0.451773:0.851831:0.433566:0.851831:0.000000:0.000000
3/2:@0.487430:0.868220:0.511884:0.868220:0.511884:0.851831:0.487430:0.851831:0.000000:0.000000:0.000000
El rango o recorrido es el conjunto de valores del codominio que son imágenes de   expresado como :@0.115358:0.551658:0.884030:0.551658:0.884030:0.535269:0.115358:0.535269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.742782:0.551658:0.750245:0.551658:0.750245:0.535297:0.742782:0.535297:0.000000
():@0.152419:0.572595:0.175620:0.572595:0.175620:0.552661:0.152419:0.552661:0.000000:0.000000
=:@0.130954:0.570141:0.141071:0.570141:0.141071:0.554568:0.130954:0.554568:0.000000
yf x:@0.119437:0.569463:0.167791:0.569463:0.167791:0.553102:0.119437:0.553102:0.000000:0.000000:0.000000:0.000000
, por lo tanto: :@0.179014:0.571413:0.280014:0.571413:0.280014:0.555024:0.179014:0.555024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.446124:0.573534:0.458286:0.573534:0.458286:0.556786:0.446124:0.556786:0.000000
–,1:@0.405178:0.572663:0.440039:0.572663:0.440039:0.556274:0.405178:0.556274:0.000000:0.000000:0.000000
1,:@0.465857:0.572663:0.475506:0.572663:0.475506:0.556274:0.465857:0.556274:0.000000:0.000000
Ranf:@0.282992:0.572663:0.322446:0.572663:0.322446:0.556302:0.282992:0.556302:0.000000:0.000000:0.000000:0.000000
fx:@0.347231:0.572663:0.371390:0.572663:0.371390:0.556302:0.347231:0.556302:0.000000:0.000000
():@0.311319:0.575795:0.331903:0.575795:0.331903:0.555861:0.311319:0.555861:0.000000:0.000000
():@0.356024:0.575795:0.379225:0.575795:0.379225:0.555861:0.356024:0.555861:0.000000:0.000000
]:@0.398380:0.575712:0.404516:0.575712:0.404516:0.556090:0.398380:0.556090:0.000000
[ ] [:@0.437483:0.575712:0.495917:0.575712:0.495917:0.556090:0.437483:0.556090:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.334563:0.573341:0.344680:0.573341:0.344680:0.557768:0.334563:0.557768:0.000000
∈:@0.382254:0.573341:0.395393:0.573341:0.395393:0.557768:0.382254:0.557768:0.000000
∞:@0.414294:0.573341:0.427433:0.573341:0.427433:0.557768:0.414294:0.557768:0.000000
∞:@0.476432:0.573341:0.489571:0.573341:0.489571:0.557768:0.476432:0.557768:0.000000
Para completar la tabla y graficar,:@0.115354:0.611413:0.355905:0.611413:0.355905:0.595024:0.115354:0.595024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 reemplazamos:@0.355905:0.611413:0.472754:0.611413:0.472754:0.594789:0.355905:0.594789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los valores de x en :@0.472754:0.611413:0.614684:0.611413:0.614684:0.595024:0.472754:0.595024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.651744:0.614174:0.674945:0.614174:0.674945:0.594240:0.651744:0.594240:0.000000:0.000000
=:@0.630280:0.611718:0.640396:0.611718:0.640396:0.596145:0.630280:0.596145:0.000000
yf x:@0.618762:0.611041:0.667116:0.611041:0.667116:0.594679:0.618762:0.594679:0.000000:0.000000:0.000000:0.000000
,:@0.675372:0.611414:0.678578:0.611414:0.678578:0.595025:0.675372:0.595025:0.000000
así:  2:@0.115356:0.647041:0.168520:0.645195:0.168520:0.628806:0.115356:0.630652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.153099:0.648327:0.174844:0.648327:0.174844:0.628394:0.153099:0.628394:0.000000:0.000000
():@0.201048:0.638697:0.222793:0.638697:0.222793:0.618763:0.201048:0.618763:0.000000:0.000000
():@0.191632:0.659250:0.213376:0.659250:0.213376:0.639316:0.191632:0.639316:0.000000:0.000000
=:@0.177494:0.645873:0.187611:0.645873:0.187611:0.630300:0.177494:0.630300:0.000000
+:@0.215087:0.656799:0.225203:0.656799:0.225203:0.641226:0.215087:0.641226:0.000000
=:@0.236334:0.645873:0.246450:0.645873:0.246450:0.630300:0.236334:0.630300:0.000000
2:@0.207476:0.635569:0.216469:0.635569:0.216469:0.619181:0.207476:0.619181:0.000000
2:@0.198059:0.656121:0.207052:0.656121:0.207052:0.639732:0.198059:0.639732:0.000000
1 3:@0.226069:0.656121:0.259663:0.656121:0.259663:0.639732:0.226069:0.639732:0.000000:0.000000:0.000000
2:@0.250468:0.636676:0.259460:0.636676:0.259460:0.620287:0.250468:0.620287:0.000000
f:@0.144288:0.645195:0.148987:0.645195:0.148987:0.628834:0.144288:0.628834:0.000000
Shutterstock, 1120701632.:@0.896371:0.900554:0.896371:0.808434:0.882475:0.808434:0.882475:0.900554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.251002:0.702726:0.257542:0.702726:0.257542:0.690806:0.251002:0.690806:0.000000
1:@0.251002:0.823024:0.257542:0.823024:0.257542:0.811105:0.251002:0.811105:0.000000
4:@0.251002:0.722873:0.257542:0.722873:0.257542:0.710953:0.251002:0.710953:0.000000
2:@0.251002:0.843171:0.257542:0.843171:0.257542:0.831252:0.251002:0.831252:0.000000
–5:@0.124461:0.812161:0.137702:0.812161:0.137702:0.800242:0.124461:0.800242:0.000000:0.000000
y:@0.273892:0.692456:0.279789:0.692456:0.279789:0.680537:0.273892:0.680537:0.000000
x:@0.379942:0.794871:0.385691:0.794871:0.385691:0.782952:0.379942:0.782952:0.000000
1:@0.287482:0.812161:0.294022:0.812161:0.294022:0.800242:0.287482:0.800242:0.000000
–3:@0.179329:0.812161:0.192570:0.812161:0.192570:0.800242:0.179329:0.800242:0.000000:0.000000
3:@0.342349:0.812161:0.348890:0.812161:0.348890:0.800242:0.342349:0.800242:0.000000
–4:@0.151895:0.812161:0.165136:0.812161:0.165136:0.800242:0.151895:0.800242:0.000000:0.000000
2:@0.314916:0.812161:0.321456:0.812161:0.321456:0.800242:0.314916:0.800242:0.000000
–2:@0.206762:0.812161:0.220003:0.812161:0.220003:0.800242:0.206762:0.800242:0.000000:0.000000
4:@0.369783:0.812161:0.376323:0.812161:0.376323:0.800242:0.369783:0.800242:0.000000
–1 0:@0.234384:0.812161:0.261080:0.812161:0.261080:0.800242:0.234384:0.800242:0.000000:0.000000:0.000000:0.000000
3:@0.251015:0.743020:0.257556:0.743020:0.257556:0.731100:0.251015:0.731100:0.000000
3:@0.251015:0.863318:0.257556:0.863318:0.257556:0.851399:0.251015:0.851399:0.000000
2:@0.251015:0.763167:0.257556:0.763167:0.257556:0.751247:0.251015:0.751247:0.000000
1:@0.251015:0.783314:0.257556:0.783314:0.257556:0.771394:0.251015:0.771394:0.000000
():@0.291615:0.754435:0.314815:0.754435:0.314815:0.734501:0.291615:0.734501:0.000000:0.000000
=:@0.317477:0.751980:0.327594:0.751980:0.327594:0.736407:0.317477:0.736407:0.000000
+:@0.343653:0.762903:0.353770:0.762903:0.353770:0.747330:0.343653:0.747330:0.000000
1:@0.354654:0.762225:0.363647:0.762225:0.363647:0.745836:0.354654:0.745836:0.000000
fx:@0.282820:0.751303:0.306978:0.751303:0.306978:0.734941:0.282820:0.734941:0.000000:0.000000
x:@0.342507:0.742783:0.349970:0.742783:0.349970:0.726422:0.342507:0.726422:0.000000
x:@0.333077:0.762225:0.340540:0.762225:0.340540:0.745864:0.333077:0.745864:0.000000