﻿29:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.180593:0.130781:0.241488:0.130781:0.241488:0.096834:0.180593:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.5.3.1. Grafica funciones reales y analiza su dominio, recorrido, monotonía, ceros, extremos, paridad; identifica las funciones afines, :@0.261615:0.108245:0.882423:0.108245:0.882423:0.097816:0.261615:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potencia, raíz cuadrada, valor absoluto; reconoce si una función es inyectiva, sobreyectiva o biyectiva; realiza operaciones con :@0.261615:0.118806:0.882507:0.118806:0.882507:0.108377:0.261615:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones aplicando las propiedades de los números reales en problemas reales e hipotéticos. (I.4.):@0.261615:0.129367:0.719370:0.129367:0.719370:0.118938:0.261615:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.119958:0.172018:0.138698:0.172018:0.138698:0.154882:0.119958:0.154882:0.000000:0.000000:0.000000
Completa:@0.153201:0.172018:0.228220:0.172018:0.228220:0.155394:0.153201:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la tabla, :@0.228220:0.172018:0.298613:0.172018:0.298613:0.155629:0.228220:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra:@0.301765:0.172018:0.379935:0.172018:0.379935:0.155394:0.301765:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio, el :@0.379935:0.172018:0.496397:0.172018:0.496397:0.155629:0.379935:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rango y :@0.153201:0.188614:0.212888:0.188614:0.212888:0.172225:0.153201:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa:@0.212888:0.188614:0.295184:0.188614:0.295184:0.171990:0.212888:0.171990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente.:@0.295184:0.188614:0.399851:0.188614:0.399851:0.172225:0.295184:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153201:0.223937:0.171923:0.223937:0.171923:0.207036:0.153201:0.207036:0.000000:0.000000:0.000000
():@0.197852:0.225365:0.221052:0.225365:0.221052:0.205431:0.197852:0.205431:0.000000:0.000000
=+:@0.223714:0.222911:0.258542:0.222911:0.258542:0.207338:0.223714:0.207338:0.000000:0.000000
3:@0.260569:0.222233:0.269562:0.222233:0.269562:0.205844:0.260569:0.205844:0.000000
fx:@0.189052:0.222233:0.213210:0.222233:0.213210:0.205872:0.189052:0.205872:0.000000:0.000000
x:@0.237848:0.222233:0.245311:0.222233:0.245311:0.205872:0.237848:0.205872:0.000000
 :@0.153191:0.276337:0.157006:0.276337:0.157006:0.259437:0.153191:0.259437:0.000000
x:@0.210800:0.259210:0.219903:0.259210:0.219903:0.242310:0.210800:0.242310:0.000000
f(x):@0.259301:0.259210:0.285376:0.259210:0.285376:0.242310:0.259301:0.242310:0.000000:0.000000:0.000000:0.000000
–2:@0.206248:0.281491:0.224454:0.281491:0.224454:0.265102:0.206248:0.265102:0.000000:0.000000
–1:@0.206248:0.302872:0.224454:0.302872:0.224454:0.286484:0.206248:0.286484:0.000000:0.000000
  0:@0.206819:0.324254:0.223883:0.324254:0.223883:0.307865:0.206819:0.307865:0.000000:0.000000:0.000000
  1:@0.206819:0.345636:0.223883:0.345636:0.223883:0.329247:0.206819:0.329247:0.000000:0.000000:0.000000
  2:@0.206819:0.367017:0.223883:0.367017:0.223883:0.350629:0.206819:0.350629:0.000000:0.000000:0.000000
 :@0.153195:0.539205:0.157009:0.539205:0.157009:0.522304:0.153195:0.522304:0.000000
b) :@0.153198:0.574002:0.173229:0.574002:0.173229:0.557101:0.153198:0.557101:0.000000:0.000000:0.000000
3:@0.236382:0.573246:0.245375:0.573246:0.245375:0.556857:0.236382:0.556857:0.000000
2:@0.268944:0.573246:0.277937:0.573246:0.277937:0.556857:0.268944:0.556857:0.000000
():@0.197852:0.576378:0.221052:0.576378:0.221052:0.556445:0.197852:0.556445:0.000000:0.000000
=:@0.223714:0.573924:0.233831:0.573924:0.233831:0.558351:0.223714:0.558351:0.000000
+:@0.256810:0.573924:0.266927:0.573924:0.266927:0.558351:0.256810:0.558351:0.000000
fx:@0.189057:0.573246:0.213215:0.573246:0.213215:0.556885:0.189057:0.556885:0.000000:0.000000
x:@0.246219:0.573246:0.253682:0.573246:0.253682:0.556885:0.246219:0.556885:0.000000
 :@0.153196:0.591654:0.157011:0.591654:0.157011:0.574754:0.153196:0.574754:0.000000
x:@0.210800:0.608731:0.219903:0.608731:0.219903:0.591830:0.210800:0.591830:0.000000
f(x):@0.259301:0.608731:0.285376:0.608731:0.285376:0.591830:0.259301:0.591830:0.000000:0.000000:0.000000:0.000000
–2:@0.206248:0.631012:0.224454:0.631012:0.224454:0.614623:0.206248:0.614623:0.000000:0.000000
–1:@0.206248:0.652393:0.224454:0.652393:0.224454:0.636004:0.206248:0.636004:0.000000:0.000000
  0:@0.206819:0.673775:0.223883:0.673775:0.223883:0.657386:0.206819:0.657386:0.000000:0.000000:0.000000
  1:@0.206819:0.695157:0.223883:0.695157:0.223883:0.678768:0.206819:0.678768:0.000000:0.000000:0.000000
  2:@0.206819:0.716538:0.223883:0.716538:0.223883:0.700149:0.206819:0.700149:0.000000:0.000000:0.000000
c) :@0.545667:0.181841:0.563302:0.181841:0.563302:0.164940:0.545667:0.164940:0.000000:0.000000:0.000000
2–5:@0.628851:0.180584:0.671197:0.180584:0.671197:0.164195:0.628851:0.164195:0.000000:0.000000:0.000000
():@0.590320:0.183715:0.613521:0.183715:0.613521:0.163782:0.590320:0.163782:0.000000:0.000000
=:@0.616181:0.181261:0.626298:0.181261:0.626298:0.165688:0.616181:0.165688:0.000000
fx:@0.581518:0.180584:0.605677:0.180584:0.605677:0.164222:0.581518:0.164222:0.000000:0.000000
x:@0.639105:0.180584:0.646568:0.180584:0.646568:0.164222:0.639105:0.164222:0.000000
 :@0.545658:0.199490:0.549473:0.199490:0.549473:0.182589:0.545658:0.182589:0.000000
x:@0.603266:0.216570:0.612370:0.216570:0.612370:0.199669:0.603266:0.199669:0.000000
f(x):@0.651768:0.216570:0.677843:0.216570:0.677843:0.199669:0.651768:0.199669:0.000000:0.000000:0.000000:0.000000
–2:@0.598715:0.238851:0.616921:0.238851:0.616921:0.222462:0.598715:0.222462:0.000000:0.000000
–1:@0.598715:0.260232:0.616921:0.260232:0.616921:0.243843:0.598715:0.243843:0.000000:0.000000
  0:@0.599286:0.281614:0.616350:0.281614:0.616350:0.265225:0.599286:0.265225:0.000000:0.000000:0.000000
  1:@0.599286:0.302996:0.616350:0.302996:0.616350:0.286607:0.599286:0.286607:0.000000:0.000000:0.000000
  2:@0.599286:0.324377:0.616350:0.324377:0.616350:0.307988:0.599286:0.307988:0.000000:0.000000:0.000000
 :@0.545662:0.520657:0.549476:0.520657:0.549476:0.503757:0.545662:0.503757:0.000000
d) :@0.545667:0.563491:0.565734:0.563491:0.565734:0.546590:0.545667:0.546590:0.000000:0.000000:0.000000
2:@0.639425:0.554572:0.644636:0.554572:0.644636:0.545074:0.639425:0.545074:0.000000
():@0.590320:0.565367:0.613521:0.565367:0.613521:0.545433:0.590320:0.545433:0.000000:0.000000
=:@0.616181:0.562911:0.626298:0.562911:0.626298:0.547338:0.616181:0.547338:0.000000
fx:@0.581518:0.562234:0.605677:0.562234:0.605677:0.545872:0.581518:0.545872:0.000000:0.000000
x:@0.630315:0.562234:0.637778:0.562234:0.637778:0.545872:0.630315:0.545872:0.000000
 :@0.545658:0.581140:0.549473:0.581140:0.549473:0.564239:0.545658:0.564239:0.000000
x:@0.603266:0.598221:0.612370:0.598221:0.612370:0.581321:0.603266:0.581321:0.000000
f(x):@0.651768:0.598221:0.677843:0.598221:0.677843:0.581321:0.651768:0.581321:0.000000:0.000000:0.000000:0.000000
–2:@0.598715:0.620502:0.616921:0.620502:0.616921:0.604113:0.598715:0.604113:0.000000:0.000000
–1:@0.598715:0.641884:0.616921:0.641884:0.616921:0.625495:0.598715:0.625495:0.000000:0.000000
  0:@0.599286:0.663265:0.616350:0.663265:0.616350:0.646876:0.599286:0.646876:0.000000:0.000000:0.000000
  1:@0.599286:0.684647:0.616350:0.684647:0.616350:0.668258:0.599286:0.668258:0.000000:0.000000:0.000000
  2:@0.599286:0.706029:0.616350:0.706029:0.616350:0.689640:0.599286:0.689640:0.000000:0.000000:0.000000
 :@0.545662:0.911395:0.549476:0.911395:0.549476:0.894494:0.545662:0.894494:0.000000
___________________:@0.314879:0.261835:0.485298:0.261835:0.485298:0.245447:0.314879:0.245447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.284462:0.480986:0.284462:0.480986:0.268073:0.314879:0.268073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.704089:0.209958:0.874508:0.209958:0.874508:0.193569:0.704089:0.193569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.704089:0.232584:0.870196:0.232584:0.870196:0.216195:0.704089:0.216195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.592048:0.884625:0.592048:0.884625:0.575659:0.704200:0.575659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.614674:0.884625:0.614674:0.884625:0.598285:0.704200:0.598285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
____________________:@0.704200:0.637301:0.879023:0.637301:0.879023:0.620912:0.704200:0.620912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.631077:0.485298:0.631077:0.485298:0.614688:0.314879:0.614688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
___________________:@0.314879:0.653703:0.480986:0.653703:0.480986:0.637315:0.314879:0.637315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000