147:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.530451:0.139215:0.685911:0.139215:0.685911:0.122546:0.530451:0.122546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Se conocen valores aproximados con seis cifras :@0.529847:0.188655:0.916389:0.188655:0.916389:0.171986:0.529847:0.171986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de precisión::@0.559971:0.205297:0.656403:0.205297:0.656403:0.188628:0.559971:0.188628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.559971:0.237305:0.573261:0.237305:0.573261:0.220899:0.559971:0.220899:0.000000:0.000000
(2)   0,693 147 2;   (3)   1,098 612 3.:@0.573261:0.237305:0.848748:0.237306:0.848748:0.220872:0.573261:0.220871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≃:@0.596026:0.237521:0.609965:0.237521:0.609965:0.221471:0.596026:0.221471:0.000000
ln:@0.708389:0.237306:0.721679:0.237306:0.721679:0.220900:0.708389:0.220900:0.000000:0.000000
≃:@0.744447:0.237521:0.758386:0.237521:0.758386:0.221471:0.744447:0.221471:0.000000
Calculen el valor aproximado de   que se define :@0.559975:0.261090:0.916744:0.261090:0.916744:0.244656:0.559975:0.244656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.801054:0.261090:0.808509:0.261090:0.808509:0.244684:0.801054:0.244684:0.000000
en cada caso y verifiquen su resultado.:@0.559975:0.277732:0.841250:0.277732:0.841250:0.261298:0.559975:0.261298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  En cada ítem se define una función. Determinen :@0.530438:0.357815:0.916582:0.357815:0.916582:0.341145:0.530438:0.341145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su dominio. Estudien la existencia de asíntotas. :@0.560562:0.374456:0.916753:0.374456:0.916753:0.357787:0.560562:0.357787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tracen la gráfica de la función y de la asíntota o :@0.560562:0.391098:0.916729:0.391098:0.916729:0.374429:0.560562:0.374429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las asíntotas.:@0.560562:0.407740:0.679845:0.407740:0.679845:0.391070:0.560562:0.391070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Determinen el dominio de cada función φ. Es-:@0.530043:0.558540:0.912684:0.558540:0.912684:0.541871:0.530043:0.541871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tudien la existencia de asíntotas. A continu-:@0.560167:0.575182:0.912684:0.575182:0.912684:0.558513:0.560167:0.558513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ación, calculen algunos valores de la función φ :@0.560167:0.591824:0.916782:0.591824:0.916782:0.575154:0.560167:0.575154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y tracen la gráfica de esta función y de su o sus :@0.560167:0.608466:0.916808:0.608466:0.916808:0.591796:0.560167:0.591796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntotas.:@0.560167:0.625108:0.632051:0.625108:0.632051:0.608438:0.560167:0.608438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen en equipo, indaguen y resuelvan:@0.530053:0.165432:0.836014:0.165432:0.836014:0.148999:0.530053:0.148999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.592914:0.165432:0.596816:0.165432:0.596816:0.148763:0.592914:0.148763:0.000000
.:@0.836014:0.165432:0.839825:0.165432:0.839825:0.148763:0.836014:0.148763:0.000000
b. :@0.104633:0.136836:0.121531:0.136836:0.121531:0.120402:0.104633:0.120402:0.000000:0.000000:0.000000
  :@0.134834:0.136836:0.141461:0.136836:0.141461:0.120430:0.134834:0.120430:0.000000:0.000000
a. :@0.561390:0.310643:0.576834:0.310643:0.576834:0.294209:0.561390:0.294209:0.000000:0.000000:0.000000
x:@0.591592:0.310643:0.599047:0.310643:0.599047:0.294236:0.591592:0.294236:0.000000
 =   :@0.598973:0.310643:0.634959:0.310643:0.634959:0.294209:0.598973:0.294209:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.617767:0.310643:0.630983:0.310643:0.630983:0.294236:0.617767:0.294236:0.000000:0.000000
3:@0.643383:0.302098:0.652366:0.302098:0.652366:0.285665:0.643383:0.285665:0.000000
2:@0.643383:0.318491:0.652366:0.318491:0.652366:0.302057:0.643383:0.302057:0.000000
   :@0.659362:0.310643:0.671308:0.310643:0.671308:0.294209:0.659362:0.294209:0.000000:0.000000:0.000000
≃:@0.671215:0.310857:0.685154:0.310857:0.685154:0.294808:0.671215:0.294808:0.000000
b. :@0.738338:0.308855:0.755235:0.308855:0.755235:0.292421:0.738338:0.292421:0.000000:0.000000:0.000000
x:@0.768539:0.308855:0.775994:0.308855:0.775994:0.292449:0.768539:0.292449:0.000000
 =    :@0.775920:0.308855:0.821055:0.308855:0.821055:0.292421:0.775920:0.292421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.794714:0.308855:0.807930:0.308855:0.807930:0.292449:0.794714:0.292449:0.000000:0.000000
3:@0.807877:0.312027:0.813114:0.312027:0.813114:0.302446:0.807877:0.302446:0.000000
27:@0.828538:0.302098:0.846504:0.302098:0.846504:0.285665:0.828538:0.285665:0.000000:0.000000
2:@0.830416:0.318491:0.839398:0.318491:0.839398:0.302057:0.830416:0.302057:0.000000
5:@0.839393:0.312424:0.844630:0.312424:0.844630:0.302843:0.839393:0.302843:0.000000
  :@0.853751:0.308855:0.861740:0.308855:0.861740:0.292421:0.853751:0.292421:0.000000:0.000000
≃:@0.861653:0.309069:0.875592:0.309069:0.875592:0.293020:0.861653:0.293020:0.000000
a. :@0.561586:0.442542:0.577030:0.442542:0.577030:0.426108:0.561586:0.426108:0.000000:0.000000:0.000000
v x:@0.591787:0.442542:0.611704:0.442542:0.611704:0.426136:0.591787:0.426136:0.000000:0.000000:0.000000
( ) =            ,     ( ) ≠ 0.:@0.599445:0.442542:0.758831:0.442542:0.758831:0.426108:0.599445:0.426108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln x:@0.697592:0.442542:0.723013:0.442542:0.723013:0.426136:0.697592:0.426136:0.000000:0.000000:0.000000:0.000000
a.  φ( ) =              ,        :@0.563167:0.666803:0.740307:0.666803:0.740307:0.650369:0.563167:0.650369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.609125:0.666803:0.616580:0.666803:0.616580:0.650397:0.609125:0.650397:0.000000
x:@0.710384:0.666803:0.717839:0.666803:0.717839:0.650397:0.710384:0.650397:0.000000
∈:@0.721728:0.667201:0.736364:0.667201:0.736364:0.650350:0.721728:0.650350:0.000000
Dom:@0.740233:0.666803:0.775693:0.666803:0.775693:0.650397:0.740233:0.650397:0.000000:0.000000:0.000000
(φ).:@0.775631:0.666803:0.799413:0.666803:0.799413:0.650369:0.775631:0.650369:0.000000:0.000000:0.000000:0.000000
b.  φ( ) =                      ,        :@0.563167:0.704508:0.771912:0.704508:0.771912:0.688074:0.563167:0.688074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.609125:0.704508:0.616580:0.704508:0.616580:0.688102:0.609125:0.688102:0.000000
x:@0.741989:0.704508:0.749444:0.704508:0.749444:0.688102:0.741989:0.688102:0.000000
∈:@0.753333:0.704906:0.767969:0.704906:0.767969:0.688055:0.753333:0.688055:0.000000
Dom:@0.771839:0.704508:0.807298:0.704508:0.807298:0.688102:0.771839:0.688102:0.000000:0.000000:0.000000
(φ).:@0.807236:0.704508:0.831018:0.704508:0.831018:0.688074:0.807236:0.688074:0.000000:0.000000:0.000000:0.000000
c.  φ( ) =                     ,       > 0,   ≠ 4.:@0.563167:0.739134:0.822447:0.739134:0.822447:0.722701:0.563167:0.722701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.609125:0.739134:0.616580:0.739134:0.616580:0.722728:0.609125:0.722728:0.000000
x:@0.741989:0.739134:0.749444:0.739134:0.749444:0.722728:0.741989:0.722728:0.000000
x:@0.784141:0.739134:0.791596:0.739134:0.791596:0.722728:0.784141:0.722728:0.000000
b. :@0.561586:0.480962:0.578484:0.480962:0.578484:0.464528:0.561586:0.464528:0.000000:0.000000:0.000000
p x:@0.591787:0.480962:0.613232:0.480962:0.613232:0.464556:0.591787:0.464556:0.000000:0.000000:0.000000
( ) =                      ,    ( ) ≠ –2.:@0.600973:0.480962:0.805328:0.480962:0.805328:0.464528:0.600973:0.464528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln x:@0.734683:0.480962:0.760103:0.480962:0.760103:0.464556:0.734683:0.464556:0.000000:0.000000:0.000000:0.000000
c. :@0.561586:0.519530:0.576662:0.519530:0.576662:0.503097:0.561586:0.503097:0.000000:0.000000:0.000000
t x:@0.591787:0.519530:0.609348:0.519530:0.609348:0.503124:0.591787:0.503124:0.000000:0.000000:0.000000
( ) =                ,      > 10.:@0.597089:0.519530:0.759078:0.519530:0.759078:0.503097:0.597089:0.503097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.711048:0.519530:0.718503:0.519530:0.718503:0.503124:0.711048:0.503124:0.000000
1:@0.649012:0.435026:0.657995:0.435026:0.657995:0.418593:0.649012:0.418593:0.000000
ln x:@0.638262:0.451419:0.663885:0.451419:0.663885:0.435013:0.638262:0.435013:0.000000:0.000000:0.000000:0.000000
( ):@0.651552:0.451419:0.668763:0.451419:0.668763:0.434985:0.651552:0.434985:0.000000:0.000000:0.000000
1:@0.659658:0.656703:0.668641:0.656703:0.668641:0.640269:0.659658:0.640269:0.000000
8 – 2:@0.644362:0.673095:0.679593:0.673095:0.679593:0.656662:0.644362:0.656662:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.679592:0.667029:0.683938:0.667029:0.683938:0.657464:0.679592:0.657464:0.000000
5:@0.676260:0.694408:0.685243:0.694408:0.685243:0.677974:0.676260:0.677974:0.000000
(4 – 10 ):@0.646293:0.710800:0.709974:0.710798:0.709974:0.694364:0.646293:0.694367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 2:@0.695383:0.704734:0.715210:0.704734:0.715210:0.695153:0.695383:0.695153:0.000000:0.000000:0.000000
x:@0.700749:0.704734:0.705095:0.704734:0.705095:0.695169:0.700749:0.695169:0.000000
5:@0.675073:0.731619:0.684056:0.731619:0.684056:0.715185:0.675073:0.715185:0.000000
2 – :@0.644094:0.748011:0.670343:0.748011:0.670343:0.731578:0.644094:0.731578:0.000000:0.000000:0.000000:0.000000
log x:@0.670343:0.748011:0.710163:0.748009:0.710163:0.731603:0.670343:0.731605:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.692592:0.751181:0.697829:0.751181:0.697829:0.741600:0.692592:0.741600:0.000000
( ):@0.697830:0.748009:0.715041:0.748009:0.715041:0.731575:0.697830:0.731575:0.000000:0.000000:0.000000
10:@0.666815:0.473446:0.684781:0.473446:0.684781:0.457013:0.666815:0.457013:0.000000:0.000000
(2 +  ( )):@0.639039:0.489839:0.707311:0.489839:0.707311:0.473405:0.639039:0.473405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln x:@0.671933:0.489839:0.697555:0.489839:0.697555:0.473432:0.671933:0.473432:0.000000:0.000000:0.000000:0.000000
2:@0.707315:0.483772:0.712551:0.483772:0.712551:0.474191:0.707315:0.474191:0.000000
1:@0.657076:0.512015:0.666059:0.512015:0.666059:0.495581:0.657076:0.495581:0.000000
log x:@0.636607:0.528407:0.681658:0.528405:0.681658:0.511999:0.636607:0.512001:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.658852:0.531577:0.669326:0.531577:0.669326:0.521996:0.658852:0.521996:0.000000:0.000000
( ):@0.669325:0.528405:0.686536:0.528405:0.686536:0.511971:0.669325:0.511971:0.000000:0.000000:0.000000
0:@0.259036:0.235616:0.264752:0.235616:0.264752:0.225158:0.259036:0.225158:0.000000
x:@0.408444:0.240195:0.413866:0.240195:0.413866:0.228263:0.408444:0.228263:0.000000
1:@0.283128:0.239360:0.288844:0.239360:0.288844:0.228902:0.283128:0.228902:0.000000
–1:@0.243442:0.239360:0.255015:0.239360:0.255015:0.228902:0.243442:0.228902:0.000000:0.000000
–2:@0.224466:0.239360:0.236039:0.239360:0.236039:0.228902:0.224466:0.228902:0.000000:0.000000
–3:@0.205489:0.239360:0.217063:0.239360:0.217063:0.228902:0.205489:0.228902:0.000000:0.000000
–4:@0.186513:0.239360:0.198086:0.239360:0.198086:0.228902:0.186513:0.228902:0.000000:0.000000
–5:@0.167537:0.239360:0.179110:0.239360:0.179110:0.228902:0.167537:0.228902:0.000000:0.000000
2:@0.302092:0.239360:0.307809:0.239360:0.307809:0.228902:0.302092:0.228902:0.000000
3:@0.321069:0.239360:0.326785:0.239360:0.326785:0.228902:0.321069:0.228902:0.000000
1,6:@0.271550:0.210043:0.281172:0.210043:0.281172:0.202573:0.271550:0.202573:0.000000:0.000000:0.000000
4:@0.340050:0.239360:0.345766:0.239360:0.345766:0.228902:0.340050:0.228902:0.000000
5:@0.359026:0.239360:0.364742:0.239360:0.364742:0.228902:0.359026:0.228902:0.000000
6:@0.378002:0.239360:0.383718:0.239360:0.383718:0.228902:0.378002:0.228902:0.000000
1:@0.255243:0.218206:0.260959:0.218206:0.260959:0.207748:0.255243:0.207748:0.000000
2:@0.255243:0.205701:0.260959:0.205701:0.260959:0.195243:0.255243:0.195243:0.000000
3:@0.255243:0.193195:0.260959:0.193195:0.260959:0.182737:0.255243:0.182737:0.000000
4:@0.255243:0.180690:0.260959:0.180690:0.260959:0.170232:0.255243:0.170232:0.000000
5:@0.255243:0.168185:0.260959:0.168185:0.260959:0.157727:0.255243:0.157727:0.000000
–1:@0.249386:0.243234:0.260959:0.243234:0.260959:0.232776:0.249386:0.232776:0.000000:0.000000
–2:@0.249386:0.255740:0.260959:0.255740:0.260959:0.245282:0.249386:0.245282:0.000000:0.000000
–3:@0.249386:0.268245:0.260959:0.268245:0.260959:0.257787:0.249386:0.257787:0.000000:0.000000
–4:@0.249386:0.280750:0.260959:0.280750:0.260959:0.270292:0.249386:0.270292:0.000000:0.000000
–5:@0.249386:0.293256:0.260959:0.293256:0.260959:0.282798:0.249386:0.282798:0.000000:0.000000
y:@0.254807:0.150981:0.260243:0.150981:0.260243:0.139049:0.254807:0.139049:0.000000
asíntota V:@0.306512:0.294311:0.351762:0.294311:0.351762:0.283853:0.306512:0.283853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota H:@0.338186:0.223100:0.385263:0.223100:0.385263:0.212642:0.338186:0.212642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.385265:0.225116:0.388597:0.225116:0.388597:0.219020:0.385265:0.219020:0.000000
asíntota H:@0.157937:0.217578:0.205014:0.217578:0.205014:0.207120:0.157937:0.207120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.205014:0.219597:0.208347:0.219597:0.208347:0.213500:0.205014:0.213500:0.000000
6.  Para la función dada,:@0.073089:0.335180:0.262028:0.335180:0.262028:0.318511:0.073089:0.318511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 completa :@0.261940:0.335180:0.344312:0.335180:0.344312:0.318233:0.261940:0.318233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la tabla de valores,:@0.344588:0.335180:0.485791:0.335180:0.485791:0.318511:0.344588:0.318511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.485772:0.335180:0.489582:0.335180:0.489582:0.318233:0.485772:0.318233:0.000000
verifica :@0.103214:0.351822:0.164508:0.351822:0.164508:0.334875:0.103214:0.334875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si es la gráfica que se muestra y:@0.164418:0.351822:0.400274:0.351822:0.400274:0.335153:0.164418:0.335153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 responde.:@0.400068:0.351822:0.482728:0.351822:0.482728:0.334875:0.400068:0.334875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.134747:0.392063:0.142220:0.392063:0.142220:0.375657:0.134747:0.375657:0.000000
 = log:@0.142162:0.392063:0.184535:0.392063:0.184535:0.375629:0.142162:0.375629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.184425:0.394587:0.189560:0.394587:0.189560:0.378153:0.184425:0.378153:0.000000
x:@0.190775:0.392063:0.198230:0.392063:0.198230:0.375657:0.190775:0.375657:0.000000
x:@0.128830:0.435565:0.137097:0.435565:0.137097:0.420158:0.128830:0.420158:0.000000
 1 :@0.177495:0.425606:0.192924:0.425606:0.192924:0.410666:0.177495:0.410666:0.000000:0.000000:0.000000
 4 :@0.177495:0.442840:0.192924:0.442840:0.192924:0.427901:0.177495:0.427901:0.000000:0.000000:0.000000
 1 :@0.227769:0.426948:0.243197:0.426948:0.243197:0.412008:0.227769:0.412008:0.000000:0.000000:0.000000
 2 :@0.227769:0.444182:0.243197:0.444182:0.243197:0.429242:0.227769:0.429242:0.000000:0.000000:0.000000
1:@0.280129:0.435571:0.288295:0.435571:0.288295:0.420631:0.280129:0.420631:0.000000
2:@0.328691:0.435571:0.336857:0.435571:0.336857:0.420631:0.328691:0.420631:0.000000
3:@0.377252:0.435571:0.385419:0.435571:0.385419:0.420631:0.377252:0.420631:0.000000
4:@0.425814:0.435571:0.433980:0.435571:0.433980:0.420631:0.425814:0.420631:0.000000
log3x:@0.112682:0.468513:0.153245:0.468513:0.153245:0.453107:0.112682:0.453107:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.149125:0.597746:0.155630:0.597746:0.155630:0.586263:0.149125:0.586263:0.000000
2:@0.142899:0.521689:0.149404:0.521689:0.149404:0.510206:0.142899:0.510206:0.000000
3:@0.142898:0.489064:0.149403:0.489064:0.149403:0.477580:0.142898:0.477580:0.000000
4:@0.142898:0.456830:0.149403:0.456830:0.149403:0.445346:0.142898:0.445346:0.000000
1:@0.143089:0.555070:0.149594:0.555070:0.149594:0.543586:0.143089:0.543586:0.000000
–2:@0.063087:0.597746:0.075932:0.597746:0.075932:0.586263:0.063087:0.586263:0.000000:0.000000
–1:@0.105605:0.597746:0.118450:0.597746:0.118450:0.586263:0.105605:0.586263:0.000000:0.000000
–6:@0.136558:0.785696:0.149403:0.785696:0.149403:0.774212:0.136558:0.774212:0.000000:0.000000
–3:@0.136558:0.687771:0.149403:0.687771:0.149403:0.676287:0.136558:0.676287:0.000000:0.000000
–4:@0.136558:0.720378:0.149403:0.720378:0.149403:0.708894:0.136558:0.708894:0.000000:0.000000
–5:@0.136558:0.752230:0.149403:0.752230:0.149403:0.740746:0.136558:0.740746:0.000000:0.000000
–2:@0.136558:0.653549:0.149403:0.653549:0.149403:0.642066:0.136558:0.642066:0.000000:0.000000
–1:@0.136558:0.622032:0.149403:0.622032:0.149403:0.610548:0.136558:0.610548:0.000000:0.000000
2:@0.243497:0.597746:0.250002:0.597746:0.250002:0.586263:0.243497:0.586263:0.000000
1:@0.198696:0.597746:0.205202:0.597746:0.205202:0.586263:0.198696:0.586263:0.000000
3:@0.287511:0.597746:0.294017:0.597746:0.294017:0.586263:0.287511:0.586263:0.000000
4:@0.329801:0.597746:0.336306:0.597746:0.336306:0.586263:0.329801:0.586263:0.000000
5:@0.374183:0.597746:0.380688:0.597746:0.380688:0.586263:0.374183:0.586263:0.000000
6:@0.418312:0.597746:0.424817:0.597746:0.424817:0.586263:0.418312:0.586263:0.000000
x:@0.425666:0.578180:0.430802:0.578180:0.430802:0.566878:0.425666:0.566878:0.000000
y:@0.169734:0.445127:0.174882:0.445127:0.174882:0.433825:0.169734:0.433825:0.000000
y:@0.168139:0.515701:0.174030:0.515701:0.174030:0.503750:0.168139:0.503750:0.000000
a.  ¿En qué punto corta al eje   la función :@0.104633:0.729900:0.415342:0.729900:0.415342:0.713466:0.104633:0.713466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.328165:0.729900:0.335620:0.729900:0.335620:0.713493:0.328165:0.713493:0.000000
logarítmica?:@0.134742:0.746541:0.223588:0.746541:0.223588:0.730108:0.134742:0.730108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  ¿Qué tipo de monotonía tiene la función?:@0.104633:0.777479:0.437313:0.777479:0.437313:0.761045:0.104633:0.761045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  ¿Cuál es la asíntota vertical de la función  :@0.104633:0.808416:0.433952:0.808416:0.433952:0.791982:0.104633:0.791982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logarítmica?:@0.134760:0.825058:0.223607:0.825058:0.223607:0.808624:0.134760:0.808624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  Según la gráfica, ¿existen logaritmos de números :@0.104633:0.855994:0.490057:0.855994:0.490057:0.839560:0.104633:0.839560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativos?:@0.134760:0.872636:0.212652:0.872636:0.212652:0.856202:0.134760:0.856202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  ¿Existe el logaritmo de cero?:@0.104633:0.910721:0.340550:0.910721:0.340550:0.894287:0.104633:0.894287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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