155:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.587150:0.043661:0.926917:0.043661:0.926917:0.024916:0.587150:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital :@0.117786:0.096815:0.407670:0.096815:0.407670:0.068698:0.117786:0.068698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Traza:@0.383641:0.550763:0.423512:0.550763:0.423512:0.534093:0.383641:0.534093:0.000000:0.000000:0.000000:0.000000:0.000000
 las gráficas de  ( ) = 5  + 2 y de   ( ) = 5:@0.423512:0.550763:0.709062:0.550763:0.709062:0.534329:0.423512:0.534329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.533697:0.550763:0.550724:0.550763:0.550724:0.534357:0.533697:0.534357:0.000000:0.000000:0.000000
x:@0.583615:0.544699:0.587961:0.544699:0.587961:0.535134:0.583615:0.535134:0.000000
f x:@0.659141:0.550763:0.676168:0.550763:0.676168:0.534357:0.659141:0.534357:0.000000:0.000000:0.000000
(  + 2):@0.709060:0.544699:0.735427:0.544699:0.735427:0.535118:0.709060:0.535118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.711904:0.544699:0.716250:0.544699:0.716250:0.535134:0.711904:0.535134:0.000000
.:@0.735426:0.550763:0.738629:0.550763:0.738629:0.534329:0.735426:0.534329:0.000000
Analiza:@0.383645:0.570983:0.439345:0.570983:0.439345:0.554313:0.383645:0.554313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 qué sucede en cada caso.:@0.439345:0.570983:0.630722:0.570983:0.630722:0.554549:0.439345:0.554549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  La función  ( ) = 5  + 2 se desplazó dos :@0.086133:0.870524:0.409128:0.870524:0.409128:0.853855:0.086133:0.853855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.199441:0.870524:0.216670:0.870524:0.216670:0.854118:0.199441:0.854118:0.000000:0.000000:0.000000
x:@0.249670:0.864460:0.254016:0.864460:0.254016:0.854896:0.249670:0.854896:0.000000
unidades hacia arriba, al igual que su asíntota, :@0.116254:0.887166:0.467651:0.887166:0.467651:0.870497:0.116254:0.870497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.116254:0.903808:0.123728:0.903808:0.123728:0.887402:0.116254:0.887402:0.000000
 = 2. La función sigue siendo creciente.:@0.123654:0.903808:0.415262:0.903808:0.415262:0.887138:0.123654:0.887138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.  La función  ( ) = 5:@0.518255:0.871060:0.681871:0.871060:0.681871:0.854391:0.518255:0.854391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.631564:0.871060:0.648793:0.871060:0.648793:0.854654:0.631564:0.854654:0.000000:0.000000:0.000000
(  + 2):@0.681792:0.864996:0.708428:0.864996:0.708428:0.855278:0.681792:0.855278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.684797:0.864996:0.689143:0.864996:0.689143:0.855432:0.684797:0.855432:0.000000
 se desplazó dos unidades a :@0.708374:0.871060:0.922279:0.871060:0.922279:0.854391:0.708374:0.854391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la izquierda, y la asíntota se mantiene en    = 0. :@0.548378:0.887702:0.904227:0.887702:0.904227:0.871032:0.548378:0.871032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.861191:0.887702:0.868664:0.887702:0.868664:0.871296:0.861191:0.871296:0.000000
La función sigue siendo creciente.:@0.548360:0.904344:0.804478:0.904344:0.804478:0.887674:0.548360:0.887674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfico de funciones exponenciales con :@0.124081:0.148501:0.551183:0.148501:0.551183:0.124597:0.124081:0.124597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
GeoGebra:@0.550672:0.148501:0.670508:0.148501:0.670508:0.123508:0.550672:0.123508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Grafica una función  ( ) = :@0.124081:0.174288:0.346691:0.174288:0.346691:0.157618:0.124081:0.157618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.305754:0.174288:0.322983:0.174288:0.322983:0.157882:0.305754:0.157882:0.000000:0.000000:0.000000
a    a:@0.346599:0.174288:0.379092:0.174288:0.379092:0.157882:0.346599:0.157882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355806:0.168224:0.360153:0.168224:0.360153:0.158659:0.355806:0.158659:0.000000
 > 1. Luego, realiza los desplazamientos horizontales y verticales. :@0.379055:0.174288:0.869282:0.174288:0.869282:0.157618:0.379055:0.157618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.128825:0.199150:0.132856:0.199150:0.132856:0.182716:0.128825:0.182716:0.000000
f x:@0.152542:0.199150:0.169568:0.199150:0.169568:0.182744:0.152542:0.182744:0.000000:0.000000:0.000000
( ) = :@0.157236:0.199150:0.193479:0.199150:0.193479:0.182716:0.157236:0.182716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.193479:0.199150:0.202738:0.199150:0.202738:0.182744:0.193479:0.182744:0.000000
(  +  ):@0.202738:0.193086:0.229266:0.193086:0.229266:0.183505:0.202738:0.183505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.205582:0.193086:0.209928:0.193086:0.209928:0.183521:0.205582:0.183521:0.000000
b:@0.221025:0.193086:0.226423:0.193086:0.226423:0.183521:0.221025:0.183521:0.000000
,   ( ) =   +  .:@0.229265:0.199150:0.326567:0.199150:0.326567:0.182716:0.229265:0.182716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.240530:0.199150:0.257557:0.199150:0.257557:0.182744:0.240530:0.182744:0.000000:0.000000:0.000000
a:@0.281468:0.199150:0.290727:0.199150:0.290727:0.182744:0.281468:0.182744:0.000000
x:@0.290727:0.193086:0.295073:0.193086:0.295073:0.183521:0.290727:0.183521:0.000000
b:@0.314106:0.199150:0.323364:0.199150:0.323364:0.182744:0.314106:0.182744:0.000000
 :@0.128825:0.219365:0.132856:0.219365:0.132856:0.202931:0.128825:0.202931:0.000000
Sea la función  ( ) = 5 , :@0.152533:0.219365:0.320490:0.219365:0.320490:0.202931:0.152533:0.202931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.258989:0.219365:0.276016:0.219365:0.276016:0.202959:0.258989:0.202959:0.000000:0.000000:0.000000
x:@0.308910:0.213301:0.313256:0.213301:0.313256:0.203736:0.308910:0.203736:0.000000
analiza:@0.320490:0.219365:0.373852:0.219365:0.373852:0.202695:0.320490:0.202695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 su gráfica.:@0.373852:0.219365:0.450887:0.219365:0.450887:0.202931:0.373852:0.202931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  En la barra de :@0.127494:0.255862:0.264594:0.255862:0.264594:0.239192:0.127494:0.239192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.264456:0.255862:0.319704:0.255862:0.319704:0.239456:0.264456:0.239456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.319678:0.255862:0.327391:0.255862:0.327391:0.239192:0.319678:0.239192:0.000000:0.000000
ingresa la función  :@0.157620:0.272504:0.299642:0.272504:0.299642:0.255834:0.157620:0.255834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.157620:0.289146:0.174850:0.289146:0.174850:0.272739:0.157620:0.272739:0.000000:0.000000:0.000000
( ) = 5 .:@0.162241:0.289146:0.215955:0.289146:0.215955:0.272476:0.162241:0.272476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207837:0.283082:0.212183:0.283082:0.212183:0.273517:0.207837:0.273517:0.000000
2.  La gráfica de la función :@0.127494:0.322882:0.336171:0.322882:0.336171:0.306212:0.127494:0.306212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.157602:0.339524:0.174831:0.339524:0.174831:0.323118:0.157602:0.323118:0.000000:0.000000:0.000000
( ) = 5  es creciente, :@0.162222:0.339524:0.313403:0.339524:0.313403:0.322854:0.162222:0.322854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207837:0.333460:0.212183:0.333460:0.212183:0.323895:0.207837:0.323895:0.000000
porque   > 1.:@0.157622:0.356166:0.258034:0.356166:0.258034:0.339496:0.157622:0.339496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.217114:0.356166:0.226373:0.356166:0.226373:0.339759:0.217114:0.339759:0.000000
3.  La función tiene :@0.127494:0.392717:0.283526:0.392717:0.283526:0.376047:0.127494:0.376047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota horizontal en :@0.157620:0.409359:0.326814:0.409359:0.326814:0.392689:0.157620:0.392689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.157620:0.426001:0.165094:0.426001:0.165094:0.409595:0.157620:0.409595:0.000000
 = 0.:@0.165020:0.426001:0.196754:0.426001:0.196754:0.409331:0.165020:0.409331:0.000000:0.000000:0.000000:0.000000:0.000000
Practica las gráficas de funciones exponenciales con los ejercicios de la página 112 de este texto.:@0.086127:0.939152:0.782751:0.939152:0.782751:0.922718:0.086127:0.922718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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