34:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.4 Función par y función impar:@0.293660:0.135942:0.541899:0.135942:0.541899:0.118995:0.293660:0.118995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Función par:@0.293660:0.162126:0.383742:0.162126:0.383742:0.145456:0.293660:0.145456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dada una función      ( ), decimos que la :@0.293660:0.188309:0.620324:0.188309:0.620324:0.172596:0.293660:0.172596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.434825:0.188309:0.442299:0.188309:0.442299:0.172873:0.434825:0.172873:0.000000
5:@0.447802:0.187754:0.463136:0.187754:0.463136:0.174038:0.447802:0.174038:0.000000
f x:@0.468695:0.188309:0.486016:0.188309:0.486016:0.172873:0.468695:0.172873:0.000000:0.000000:0.000000
función es par:@0.621641:0.188309:0.734164:0.188309:0.734164:0.171639:0.621641:0.171639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.734385:0.188309:0.738416:0.188309:0.738416:0.172596:0.734385:0.172596:0.000000
si se cumple la siguiente :@0.739760:0.188309:0.931004:0.188309:0.931004:0.172596:0.739760:0.172596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedad que  (:@0.293660:0.204950:0.415258:0.204950:0.415258:0.189238:0.293660:0.189238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.405760:0.204950:0.410454:0.204950:0.410454:0.189515:0.405760:0.189515:0.000000
2 5:@0.415185:0.204396:0.461884:0.204396:0.461884:0.190680:0.415185:0.190680:0.000000:0.000000:0.000000
x:@0.430426:0.204950:0.437881:0.204950:0.437881:0.189515:0.430426:0.189515:0.000000
)    ( )  para toda x que esté en el dominio de  , lo que significa que :@0.437807:0.204950:0.931022:0.204950:0.931022:0.189238:0.437807:0.189238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.465731:0.204950:0.482611:0.204950:0.482611:0.189515:0.465731:0.189515:0.000000:0.000000:0.000000
f:@0.774089:0.204950:0.778783:0.204950:0.778783:0.189515:0.774089:0.189515:0.000000
la gráfica de la función es simétrica con respecto al eje  . :@0.293642:0.221592:0.704455:0.221592:0.704455:0.205880:0.293642:0.205880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.689821:0.221592:0.697294:0.221592:0.697294:0.206157:0.689821:0.206157:0.000000
Esto significa que el valor de la función es el mismo tanto para   como  para :@0.293642:0.247775:0.875661:0.247775:0.875661:0.232063:0.293642:0.232063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.772580:0.247775:0.780035:0.247775:0.780035:0.232340:0.772580:0.232340:0.000000
2:@0.876839:0.247221:0.892172:0.247221:0.892172:0.233505:0.876839:0.233505:0.000000
x:@0.892301:0.247775:0.899756:0.247775:0.899756:0.232340:0.892301:0.232340:0.000000
. En :@0.899848:0.247775:0.930901:0.247775:0.930901:0.232063:0.899848:0.232063:0.000000:0.000000:0.000000:0.000000:0.000000
términos de la gráfica, una función par es :@0.293623:0.264417:0.601185:0.264417:0.601185:0.248705:0.293623:0.248705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simétrica respecto al eje :@0.601466:0.264417:0.790696:0.264417:0.790696:0.247748:0.601466:0.247748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y.:@0.790969:0.264417:0.802234:0.264417:0.802234:0.247734:0.790969:0.247734:0.000000:0.000000
 Es decir, si trazas :@0.802216:0.264417:0.930963:0.264417:0.930963:0.248705:0.802216:0.248705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una línea vertical por el eje  , el gráfico a ambos lados del eje será una imagen especular.:@0.293623:0.281059:0.927225:0.281059:0.927225:0.265346:0.293623:0.265346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.489035:0.281059:0.496508:0.281059:0.496508:0.265624:0.489035:0.265624:0.000000
Ejemplo:@0.293623:0.307242:0.356208:0.307242:0.356208:0.290573:0.293623:0.290573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: la función  ( )     es una función par porque  (:@0.356098:0.307242:0.708118:0.307245:0.708118:0.291532:0.356098:0.291530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.439519:0.307242:0.456399:0.307242:0.456399:0.291807:0.439519:0.291807:0.000000:0.000000:0.000000
5:@0.465308:0.306688:0.480641:0.306688:0.480641:0.292972:0.465308:0.292972:0.000000
x:@0.484746:0.307242:0.492201:0.307242:0.492201:0.291807:0.484746:0.291807:0.000000
2:@0.492184:0.301181:0.497421:0.301181:0.497421:0.292020:0.492184:0.292020:0.000000
f:@0.698620:0.307245:0.703314:0.307245:0.703314:0.291810:0.698620:0.291810:0.000000
2 5 2:@0.708044:0.306690:0.779207:0.306690:0.779207:0.292974:0.708044:0.292974:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.723285:0.307245:0.730740:0.307245:0.730740:0.291810:0.723285:0.291810:0.000000
)   (:@0.730667:0.307245:0.763965:0.307245:0.763965:0.291532:0.730667:0.291532:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.779115:0.307245:0.786570:0.307245:0.786570:0.291810:0.779115:0.291810:0.000000
):@0.786496:0.307245:0.791374:0.307245:0.791374:0.291532:0.786496:0.291532:0.000000
2 :@0.791325:0.301181:0.798869:0.301181:0.798869:0.292020:0.791325:0.292020:0.000000:0.000000
5 :@0.798961:0.306690:0.818804:0.306690:0.818804:0.292974:0.798961:0.292974:0.000000:0.000000
x:@0.818988:0.307245:0.826443:0.307245:0.826443:0.291810:0.818988:0.291810:0.000000
2:@0.826378:0.301181:0.831615:0.301181:0.831615:0.292020:0.826378:0.292020:0.000000
, que es igual :@0.831569:0.307245:0.931023:0.307245:0.931023:0.291532:0.831569:0.291532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  ( ):@0.293653:0.323887:0.327560:0.323887:0.327560:0.308174:0.293653:0.308174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x  :@0.305876:0.323887:0.330873:0.323887:0.330873:0.308451:0.305876:0.308451:0.000000:0.000000:0.000000:0.000000:0.000000
3.5 Función impar:@0.293635:0.350070:0.434835:0.350070:0.434835:0.333123:0.293635:0.333123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función  ( ) es :@0.293635:0.376253:0.430456:0.376253:0.430456:0.360540:0.293635:0.360540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.385708:0.376253:0.402569:0.376253:0.402569:0.360818:0.385708:0.360818:0.000000:0.000000:0.000000
impar:@0.429959:0.376253:0.474615:0.376253:0.474615:0.359583:0.429959:0.359583:0.000000:0.000000:0.000000:0.000000:0.000000
 si cumple la siguiente propiedad para todos los valores de   en :@0.474542:0.376253:0.930931:0.376253:0.930931:0.360540:0.474542:0.360540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.897283:0.376253:0.904737:0.376253:0.904737:0.360818:0.897283:0.360818:0.000000
su dominio::@0.293653:0.392895:0.379026:0.392895:0.379026:0.377182:0.293653:0.377182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.559841:0.419078:0.564535:0.419078:0.564535:0.403643:0.559841:0.403643:0.000000
(:@0.564461:0.419078:0.569339:0.419078:0.569339:0.403365:0.564461:0.403365:0.000000
2 5 2:@0.569265:0.418523:0.635163:0.418523:0.635163:0.404808:0.569265:0.404808:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.584506:0.419078:0.591961:0.419078:0.591961:0.403643:0.584506:0.403643:0.000000
)   :@0.591888:0.419078:0.619904:0.419078:0.619904:0.403365:0.591888:0.403365:0.000000:0.000000:0.000000:0.000000
f x:@0.635071:0.419078:0.655890:0.419078:0.655890:0.403643:0.635071:0.403643:0.000000:0.000000:0.000000
 ( ):@0.639691:0.419078:0.660694:0.419078:0.660694:0.403365:0.639691:0.403365:0.000000:0.000000:0.000000:0.000000
Esto significa que el valor de la función cambia de signo cuando se cambia el signo de  . :@0.293635:0.445261:0.930913:0.445261:0.930913:0.429548:0.293635:0.429548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.916297:0.445261:0.923752:0.445261:0.923752:0.429826:0.916297:0.429826:0.000000
En términos de la gráfica, una función impar es :@0.293635:0.461903:0.637700:0.461903:0.637700:0.446190:0.293635:0.446190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simétrica respecto al origen:@0.637446:0.461903:0.847403:0.461903:0.847403:0.445233:0.637446:0.445233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Es decir, si :@0.847233:0.461903:0.930999:0.461903:0.930999:0.446190:0.847233:0.446190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rotas el gráfico 180 grados alrededor del origen, se verá igual.:@0.293635:0.478545:0.735855:0.478545:0.735855:0.462832:0.293635:0.462832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.293635:0.504728:0.356220:0.504728:0.356220:0.488058:0.293635:0.488058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: la función  ( )     es impar porque  (:@0.356109:0.504728:0.635225:0.504732:0.635225:0.489019:0.356109:0.489015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.438795:0.504728:0.455674:0.504728:0.455674:0.489293:0.438795:0.489293:0.000000:0.000000:0.000000
5:@0.464344:0.504173:0.479677:0.504173:0.479677:0.490458:0.464344:0.490458:0.000000
x:@0.483543:0.504728:0.490998:0.504728:0.490998:0.489293:0.483543:0.489293:0.000000
3 :@0.490966:0.498668:0.498510:0.498668:0.498510:0.489507:0.490966:0.489507:0.000000:0.000000
f:@0.625727:0.504732:0.630421:0.504732:0.630421:0.489296:0.625727:0.489296:0.000000
2 5 2:@0.635151:0.504177:0.705835:0.504177:0.705835:0.490461:0.635151:0.490461:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.650393:0.504732:0.657848:0.504732:0.657848:0.489296:0.650393:0.489296:0.000000
)   (:@0.657774:0.504732:0.690594:0.504732:0.690594:0.489019:0.657774:0.489019:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.705743:0.504732:0.713198:0.504732:0.713198:0.489296:0.705743:0.489296:0.000000
)    :@0.713125:0.504732:0.746371:0.504732:0.746371:0.489019:0.713125:0.489019:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.717952:0.498668:0.723189:0.498668:0.723189:0.489507:0.717952:0.489507:0.000000
5:@0.727099:0.504177:0.742432:0.504177:0.742432:0.490461:0.727099:0.490461:0.000000
x:@0.746298:0.504732:0.753753:0.504732:0.753753:0.489296:0.746298:0.489296:0.000000
3 :@0.753672:0.498668:0.761217:0.498668:0.761217:0.489507:0.753672:0.489507:0.000000:0.000000
5 2:@0.761166:0.504177:0.795698:0.504177:0.795698:0.490461:0.761166:0.490461:0.000000:0.000000:0.000000
 :@0.776407:0.504732:0.780438:0.504732:0.780438:0.489019:0.776407:0.489019:0.000000
f  x:@0.795606:0.504732:0.815743:0.504732:0.815743:0.489296:0.795606:0.489296:0.000000:0.000000:0.000000:0.000000
( ):@0.803484:0.504732:0.820548:0.504732:0.820548:0.489019:0.803484:0.489019:0.000000:0.000000:0.000000
Existen funciones que :@0.293677:0.530915:0.458403:0.530915:0.458403:0.515202:0.293677:0.515202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no son ni pares ni impares.:@0.458753:0.530915:0.663344:0.530915:0.663344:0.514245:0.458753:0.514245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Una función puede no cumplir con :@0.663326:0.530915:0.931041:0.530915:0.931041:0.515202:0.663326:0.515202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las condiciones necesarias para ser par o impar. Una función que no es ni par ni impar no :@0.293677:0.547557:0.930435:0.547557:0.930435:0.531844:0.293677:0.531844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene ninguna simetría particular respecto al eje    ni respecto al origen.:@0.293677:0.564199:0.809363:0.564199:0.809363:0.548486:0.293677:0.548486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.642458:0.564199:0.649931:0.564199:0.649931:0.548763:0.642458:0.548763:0.000000
Ejercicios resueltos:@0.293677:0.590382:0.436686:0.590382:0.436686:0.573712:0.293677:0.573712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.293660:0.621073:0.309730:0.621073:0.309730:0.605361:0.293660:0.605361:0.000000:0.000000:0.000000
f x:@0.323861:0.621073:0.340741:0.621073:0.340741:0.605638:0.323861:0.605638:0.000000:0.000000:0.000000
( ) :@0.328482:0.621073:0.349503:0.621073:0.349503:0.605361:0.328482:0.605361:0.000000:0.000000:0.000000:0.000000
5 :@0.349411:0.620519:0.369254:0.620519:0.369254:0.606803:0.349411:0.606803:0.000000:0.000000
x:@0.370935:0.629379:0.378390:0.629379:0.378390:0.613944:0.370935:0.613944:0.000000
 4:@0.378390:0.629379:0.407971:0.629379:0.407971:0.612945:0.378390:0.612945:0.000000:0.000000:0.000000
2:@0.383655:0.628824:0.398988:0.628824:0.398988:0.615109:0.383655:0.615109:0.000000
 :@0.407971:0.629379:0.411284:0.629379:0.411284:0.613944:0.407971:0.613944:0.000000
1:@0.385109:0.612460:0.394092:0.612460:0.394092:0.596026:0.385109:0.596026:0.000000
 determinar si la función es par, impar o ninguna de las dos.:@0.409577:0.621073:0.838347:0.621073:0.838347:0.605361:0.409577:0.605361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como  (:@0.323781:0.651724:0.381948:0.651724:0.381948:0.636012:0.323781:0.636012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.372450:0.651724:0.377144:0.651724:0.377144:0.636289:0.372450:0.636289:0.000000
2 5:@0.381874:0.651170:0.428574:0.651170:0.428574:0.637454:0.381874:0.637454:0.000000:0.000000:0.000000
x:@0.397116:0.651724:0.404571:0.651724:0.404571:0.636289:0.397116:0.636289:0.000000
)   :@0.404497:0.651724:0.432513:0.651724:0.432513:0.636012:0.404497:0.636012:0.000000:0.000000:0.000000:0.000000
(:@0.432441:0.658092:0.436999:0.658092:0.436999:0.643410:0.432441:0.643410:0.000000
2 2:@0.436999:0.657574:0.482096:0.657574:0.482096:0.644758:0.436999:0.644758:0.000000:0.000000:0.000000
x:@0.451326:0.658092:0.458292:0.658092:0.458292:0.643669:0.451326:0.643669:0.000000
) 4:@0.458292:0.658092:0.490489:0.658092:0.490489:0.643410:0.458292:0.643410:0.000000:0.000000:0.000000:0.000000
 :@0.490489:0.658092:0.493585:0.658092:0.493585:0.643669:0.490489:0.643669:0.000000
1:@0.458859:0.642283:0.467253:0.642283:0.467253:0.627601:0.458859:0.627601:0.000000
x:@0.517134:0.658092:0.524100:0.658092:0.524100:0.643669:0.517134:0.643669:0.000000
 4:@0.524100:0.658092:0.551740:0.658092:0.551740:0.643410:0.524100:0.643410:0.000000:0.000000:0.000000
2:@0.529019:0.657574:0.543346:0.657574:0.543346:0.644758:0.529019:0.644758:0.000000
 :@0.551740:0.658092:0.554836:0.658092:0.554836:0.643669:0.551740:0.643669:0.000000
1:@0.530378:0.642283:0.538771:0.642283:0.538771:0.627601:0.530378:0.627601:0.000000
5 :@0.559983:0.648542:0.578610:0.648542:0.578610:0.635726:0.559983:0.635726:0.000000:0.000000
f  x f:@0.578610:0.649060:0.613319:0.649060:0.613319:0.634637:0.578610:0.634637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ), :@0.586092:0.649060:0.608933:0.649060:0.608933:0.634378:0.586092:0.634378:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.496310:0.648542:0.510637:0.648542:0.510637:0.635726:0.496310:0.635726:0.000000
 es una función par.:@0.617787:0.651724:0.758797:0.651724:0.758797:0.636012:0.617787:0.636012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Determinar si la función  ( )   :@0.293660:0.677909:0.545540:0.677909:0.545540:0.662196:0.293660:0.662196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.500718:0.677909:0.517598:0.677909:0.517598:0.662474:0.500718:0.662474:0.000000:0.000000:0.000000
5:@0.526268:0.677354:0.541601:0.677354:0.541601:0.663639:0.526268:0.663639:0.000000
x:@0.545466:0.677909:0.552921:0.677909:0.552921:0.662474:0.545466:0.662474:0.000000
3 :@0.552851:0.671845:0.560395:0.671845:0.560395:0.662685:0.552851:0.662685:0.000000:0.000000
1 :@0.560344:0.677354:0.580187:0.677354:0.580187:0.663639:0.560344:0.663639:0.000000:0.000000
x :@0.580095:0.677909:0.590790:0.677909:0.590790:0.662474:0.580095:0.662474:0.000000:0.000000
es par, impar o ninguna de las dos.:@0.590735:0.677909:0.840543:0.677909:0.840543:0.662196:0.590735:0.662196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como  (:@0.323793:0.704092:0.381960:0.704092:0.381960:0.688379:0.323793:0.688379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.372462:0.704092:0.377155:0.704092:0.377155:0.688657:0.372462:0.688657:0.000000
2 5 2:@0.381886:0.703537:0.452570:0.703537:0.452570:0.689822:0.381886:0.689822:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.397127:0.704092:0.404582:0.704092:0.404582:0.688657:0.397127:0.688657:0.000000
)   (:@0.404509:0.704092:0.437329:0.704092:0.437329:0.688379:0.404509:0.688379:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.452478:0.704092:0.459933:0.704092:0.459933:0.688657:0.452478:0.688657:0.000000
):@0.459859:0.704092:0.464737:0.704092:0.464737:0.688379:0.459859:0.688379:0.000000
3 :@0.464669:0.698028:0.472213:0.698028:0.472213:0.688868:0.464669:0.688868:0.000000:0.000000
1  2 5 2  5 2:@0.472162:0.703537:0.624957:0.703537:0.624957:0.689822:0.472162:0.689822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.491913:0.704092:0.496791:0.704092:0.496791:0.688379:0.491913:0.688379:0.000000
x    x:@0.511958:0.704092:0.553320:0.704092:0.553320:0.688657:0.511958:0.688657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.519340:0.704092:0.524218:0.704092:0.524218:0.688379:0.519340:0.688379:0.000000
3 :@0.553261:0.698028:0.560805:0.698028:0.560805:0.688868:0.553261:0.688868:0.000000:0.000000
x   :@0.580504:0.704092:0.609698:0.704092:0.609698:0.688657:0.580504:0.688657:0.000000:0.000000:0.000000:0.000000
(:@0.624865:0.704092:0.629743:0.704092:0.629743:0.688379:0.624865:0.688379:0.000000
x:@0.629669:0.704092:0.637124:0.704092:0.637124:0.688657:0.629669:0.688657:0.000000
3 :@0.637054:0.698028:0.644598:0.698028:0.644598:0.688868:0.637054:0.688868:0.000000:0.000000
1 5 2:@0.644548:0.703537:0.710998:0.703537:0.710998:0.689822:0.644548:0.689822:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.659789:0.704092:0.667244:0.704092:0.667244:0.688657:0.659789:0.688657:0.000000
) :@0.667170:0.704092:0.676006:0.704092:0.676006:0.688379:0.667170:0.688379:0.000000:0.000000
f x f:@0.710906:0.704092:0.744278:0.704092:0.744278:0.688657:0.710906:0.688657:0.000000:0.000000:0.000000:0.000000:0.000000
( ),  es impar.:@0.715526:0.704092:0.813187:0.704092:0.813187:0.688379:0.715526:0.688379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.744204:0.703537:0.748806:0.703537:0.748806:0.689822:0.744204:0.689822:0.000000
3.  Determinar si la función  ( ) :@0.293660:0.730276:0.526360:0.730276:0.526360:0.714564:0.293660:0.714564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.500718:0.730276:0.517598:0.730276:0.517598:0.714841:0.500718:0.714841:0.000000:0.000000:0.000000
5  1:@0.526268:0.729722:0.571991:0.729722:0.571991:0.716006:0.526268:0.716006:0.000000:0.000000:0.000000:0.000000
x   :@0.546019:0.730276:0.575212:0.730276:0.575212:0.714841:0.546019:0.714841:0.000000:0.000000:0.000000:0.000000
1 es par, impar o ninguna de las dos.:@0.575139:0.730276:0.837814:0.730276:0.837814:0.714564:0.575139:0.714564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293655:0.756460:0.359789:0.756460:0.359789:0.739790:0.293655:0.739790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.359682:0.756460:0.362885:0.756460:0.362885:0.740747:0.359682:0.740747:0.000000
Para ser par, debería cumplirse que  (:@0.293655:0.782643:0.559474:0.782643:0.559474:0.766930:0.293655:0.766930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.549976:0.782643:0.554670:0.782643:0.554670:0.767207:0.549976:0.767207:0.000000
2 5 2:@0.559401:0.782088:0.625851:0.782088:0.625851:0.768372:0.559401:0.768372:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.574642:0.782643:0.582097:0.782643:0.582097:0.767207:0.574642:0.767207:0.000000
) :@0.582023:0.782643:0.590859:0.782643:0.590859:0.766930:0.582023:0.766930:0.000000:0.000000
f x:@0.625759:0.782643:0.642638:0.782643:0.642638:0.767207:0.625759:0.767207:0.000000:0.000000:0.000000
( ) :@0.630379:0.782643:0.651474:0.782643:0.651474:0.766930:0.630379:0.766930:0.000000:0.000000:0.000000:0.000000
f:@0.508910:0.808826:0.513603:0.808826:0.513603:0.793391:0.508910:0.793391:0.000000
(:@0.513530:0.808826:0.518408:0.808826:0.518408:0.793113:0.513530:0.793113:0.000000
2 5  2 1 5 2 1:@0.518334:0.808271:0.698780:0.808271:0.698780:0.794556:0.518334:0.794556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.533575:0.808826:0.541030:0.808826:0.541030:0.793391:0.533575:0.793391:0.000000
) :@0.540957:0.808826:0.549792:0.808826:0.549792:0.793113:0.540957:0.793113:0.000000:0.000000
(:@0.569451:0.808826:0.574329:0.808826:0.574329:0.793113:0.569451:0.793113:0.000000
x:@0.589496:0.808826:0.596951:0.808826:0.596951:0.793391:0.589496:0.793391:0.000000
)   1   :@0.596878:0.808826:0.656941:0.808826:0.656941:0.793113:0.596878:0.793113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.672108:0.808826:0.679563:0.808826:0.679563:0.793391:0.672108:0.793391:0.000000
   1:@0.679490:0.808826:0.711629:0.808826:0.711629:0.793113:0.679490:0.793113:0.000000:0.000000:0.000000:0.000000
f:@0.293637:0.835009:0.298331:0.835009:0.298331:0.819574:0.293637:0.819574:0.000000
(:@0.298257:0.835009:0.303135:0.835009:0.303135:0.819296:0.298257:0.819296:0.000000
2:@0.303061:0.834454:0.318394:0.834454:0.318394:0.820739:0.303061:0.820739:0.000000
x:@0.318302:0.835009:0.325757:0.835009:0.325757:0.819574:0.318302:0.819574:0.000000
) :@0.325684:0.835009:0.334519:0.835009:0.334519:0.819296:0.325684:0.819296:0.000000:0.000000
? :@0.334427:0.835550:0.354270:0.835550:0.354270:0.820378:0.334427:0.820378:0.000000:0.000000
f x:@0.354178:0.835009:0.371058:0.835009:0.371058:0.819574:0.354178:0.819574:0.000000:0.000000:0.000000
( ) ya que (:@0.358798:0.835009:0.437305:0.835009:0.437305:0.819296:0.358798:0.819296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   :@0.437158:0.835009:0.466352:0.835009:0.466352:0.819574:0.437158:0.819574:0.000000:0.000000:0.000000:0.000000
1:@0.447797:0.834454:0.463131:0.834454:0.463131:0.820739:0.447797:0.820739:0.000000
1   :@0.466278:0.835009:0.498399:0.835009:0.498399:0.819296:0.466278:0.819296:0.000000:0.000000:0.000000:0.000000
?:@0.479127:0.835550:0.494460:0.835550:0.494460:0.820378:0.479127:0.820378:0.000000
2 1:@0.498325:0.834454:0.540239:0.834454:0.540239:0.820739:0.498325:0.820739:0.000000:0.000000:0.000000
x:@0.513567:0.835009:0.521022:0.835009:0.521022:0.819574:0.513567:0.819574:0.000000
   1), por lo que:@0.520948:0.835009:0.640061:0.835009:0.640061:0.819296:0.520948:0.819296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 no es par.:@0.639877:0.835009:0.715875:0.835009:0.715875:0.818340:0.639877:0.818340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ser impar, debería cumplirse que  (:@0.293618:0.861192:0.578194:0.861192:0.578194:0.845480:0.293618:0.845480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.568696:0.861192:0.573390:0.861192:0.573390:0.845757:0.568696:0.845757:0.000000
2 5 2:@0.578121:0.860637:0.644571:0.860637:0.644571:0.846922:0.578121:0.846922:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.593362:0.861192:0.600817:0.861192:0.600817:0.845757:0.593362:0.845757:0.000000
) :@0.600743:0.861192:0.609579:0.861192:0.609579:0.845480:0.600743:0.845480:0.000000:0.000000
f x:@0.644479:0.861192:0.661358:0.861192:0.661358:0.845757:0.644479:0.845757:0.000000:0.000000:0.000000
( ):@0.649099:0.861192:0.666163:0.861192:0.666163:0.845480:0.649099:0.845480:0.000000:0.000000:0.000000
 :@0.666163:0.860637:0.670765:0.860637:0.670765:0.846922:0.666163:0.846922:0.000000
f:@0.442367:0.887375:0.447061:0.887375:0.447061:0.871940:0.442367:0.871940:0.000000
(:@0.446988:0.887375:0.451865:0.887375:0.451865:0.871663:0.446988:0.871663:0.000000
2 5 2 1:@0.451792:0.886821:0.544822:0.886821:0.544822:0.873105:0.451792:0.873105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.467033:0.887375:0.474488:0.887375:0.474488:0.871940:0.467033:0.871940:0.000000
) :@0.474414:0.887375:0.483250:0.887375:0.483250:0.871663:0.474414:0.871663:0.000000:0.000000
x:@0.518150:0.887375:0.525605:0.887375:0.525605:0.871940:0.518150:0.871940:0.000000
   1 y :@0.525531:0.887375:0.573611:0.887375:0.573611:0.871663:0.525531:0.871663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.573501:0.886821:0.588834:0.886821:0.588834:0.873105:0.573501:0.873105:0.000000
f x:@0.588742:0.887375:0.605621:0.887375:0.605621:0.871940:0.588742:0.871940:0.000000:0.000000:0.000000
( )   :@0.593362:0.887375:0.633563:0.887375:0.633563:0.871663:0.593362:0.871663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2  1:@0.614291:0.886821:0.684018:0.886821:0.684018:0.873105:0.614291:0.873105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.653241:0.887375:0.658119:0.887375:0.658119:0.871663:0.653241:0.871663:0.000000
x   :@0.658045:0.887375:0.687239:0.887375:0.687239:0.871940:0.658045:0.871940:0.000000:0.000000:0.000000:0.000000
1)   :@0.687165:0.887375:0.724090:0.887375:0.724090:0.871663:0.687165:0.871663:0.000000:0.000000:0.000000:0.000000:0.000000
5 2 2:@0.704818:0.886821:0.765231:0.886821:0.765231:0.873105:0.704818:0.873105:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.739258:0.887375:0.749953:0.887375:0.749953:0.871940:0.739258:0.871940:0.000000:0.000000
 1:@0.765139:0.887375:0.778079:0.887375:0.778079:0.871663:0.765139:0.871663:0.000000:0.000000
f:@0.293600:0.913559:0.298294:0.913559:0.298294:0.898123:0.293600:0.898123:0.000000
(:@0.298220:0.913559:0.303098:0.913559:0.303098:0.897846:0.298220:0.897846:0.000000
2:@0.303024:0.913004:0.318358:0.913004:0.318358:0.899288:0.303024:0.899288:0.000000
x:@0.318266:0.913559:0.325721:0.913559:0.325721:0.898123:0.318266:0.898123:0.000000
)    ( ), ya que (:@0.325647:0.913559:0.439846:0.913559:0.439846:0.897846:0.325647:0.897846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.334390:0.914099:0.349724:0.914099:0.349724:0.898928:0.334390:0.898928:0.000000
f x:@0.353589:0.913559:0.370469:0.913559:0.370469:0.898123:0.353589:0.898123:0.000000:0.000000:0.000000
2 1:@0.439698:0.913004:0.481612:0.913004:0.481612:0.899288:0.439698:0.899288:0.000000:0.000000:0.000000
x:@0.454939:0.913559:0.462394:0.913559:0.462394:0.898123:0.454939:0.898123:0.000000
   1   :@0.462321:0.913559:0.517598:0.913559:0.517598:0.897846:0.462321:0.897846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
?:@0.498325:0.914099:0.513659:0.914099:0.513659:0.898928:0.498325:0.898928:0.000000
2 2:@0.517524:0.913004:0.558738:0.913004:0.558738:0.899288:0.517524:0.899288:0.000000:0.000000:0.000000
x :@0.532765:0.913559:0.543460:0.913559:0.543460:0.898123:0.532765:0.898123:0.000000:0.000000
 1), por lo que no es impar.:@0.558646:0.913559:0.750387:0.913559:0.750387:0.897846:0.558646:0.897846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La función  ( ) :@0.293600:0.939742:0.399202:0.939742:0.399202:0.924029:0.293600:0.924029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.373561:0.939742:0.390440:0.939742:0.390440:0.924306:0.373561:0.924306:0.000000:0.000000:0.000000
5  1:@0.399110:0.939187:0.444897:0.939192:0.444897:0.925476:0.399110:0.925471:0.000000:0.000000:0.000000:0.000000
x :@0.418861:0.939742:0.429556:0.939742:0.429556:0.924306:0.418861:0.924306:0.000000:0.000000
 1 no es ni par ni impar.:@0.444805:0.939747:0.612288:0.939747:0.612288:0.924034:0.444805:0.924034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.159433:0.209990:0.167599:0.209990:0.167599:0.195705:0.159433:0.195705:0.000000
2:@0.127086:0.209485:0.141026:0.209485:0.141026:0.197017:0.127086:0.197017:0.000000
2:@0.141026:0.209990:0.149192:0.209990:0.149192:0.195705:0.141026:0.195705:0.000000
2:@0.199427:0.209990:0.207593:0.209990:0.207593:0.195705:0.199427:0.195705:0.000000
2:@0.158814:0.179782:0.166980:0.179782:0.166980:0.165498:0.158814:0.165498:0.000000
2:@0.144874:0.228674:0.158814:0.228674:0.158814:0.216205:0.144874:0.216205:0.000000
2:@0.158814:0.229178:0.166980:0.229178:0.166980:0.214894:0.158814:0.214894:0.000000
2:@0.144874:0.252880:0.158814:0.252880:0.158814:0.240411:0.144874:0.240411:0.000000
4:@0.158814:0.253385:0.166980:0.253385:0.166980:0.239100:0.158814:0.239100:0.000000
4:@0.158814:0.155236:0.166980:0.155236:0.166980:0.140951:0.158814:0.140951:0.000000
4:@0.232459:0.209990:0.240625:0.209990:0.240625:0.195705:0.232459:0.195705:0.000000
2:@0.094305:0.209485:0.108244:0.209485:0.108244:0.197017:0.094305:0.197017:0.000000
4:@0.108244:0.209990:0.116410:0.209990:0.116410:0.195705:0.108244:0.195705:0.000000
Figura 3.1 La gráfica de   :@0.149605:0.293159:0.280584:0.293159:0.280584:0.281731:0.149605:0.281731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.274239:0.293159:0.277653:0.293159:0.277653:0.281933:0.274239:0.281933:0.000000
 :@0.277653:0.293159:0.280584:0.293159:0.280584:0.281731:0.277653:0.281731:0.000000
es simétrica respecto al origen.:@0.113540:0.304505:0.277650:0.304505:0.277650:0.293078:0.113540:0.293078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.2 La gráfica de f  :@0.149511:0.668437:0.280584:0.668437:0.280584:0.657010:0.149511:0.657010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es simétrica respecto al eje y.:@0.124236:0.679784:0.277648:0.679784:0.277648:0.668356:0.124236:0.668356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.159433:0.587379:0.167599:0.587379:0.167599:0.573094:0.159433:0.573094:0.000000
2:@0.127086:0.586874:0.141026:0.586874:0.141026:0.574406:0.127086:0.574406:0.000000
2:@0.141026:0.587379:0.149192:0.587379:0.149192:0.573094:0.141026:0.573094:0.000000
2:@0.199427:0.587379:0.207593:0.587379:0.207593:0.573094:0.199427:0.573094:0.000000
2:@0.158814:0.557171:0.166980:0.557171:0.166980:0.542887:0.158814:0.542887:0.000000
2:@0.144874:0.606063:0.158814:0.606063:0.158814:0.593594:0.144874:0.593594:0.000000
2:@0.158814:0.606567:0.166980:0.606567:0.166980:0.592283:0.158814:0.592283:0.000000
2:@0.144874:0.630269:0.158814:0.630269:0.158814:0.617800:0.144874:0.617800:0.000000
4:@0.158814:0.630773:0.166980:0.630773:0.166980:0.616489:0.158814:0.616489:0.000000
4:@0.158814:0.532624:0.166980:0.532624:0.166980:0.518340:0.158814:0.518340:0.000000
4:@0.232459:0.587379:0.240625:0.587379:0.240625:0.573094:0.232459:0.573094:0.000000
2:@0.094305:0.586874:0.108244:0.586874:0.108244:0.574406:0.094305:0.574406:0.000000
4:@0.108244:0.587379:0.116410:0.587379:0.116410:0.573094:0.108244:0.573094:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000