112
Utilizas funciones polinomiales de grado tres y cuatro
B
loque
IV
Ejemplo 3:
Traza el bosquejo de la función
fx x x
!..
42
()
1.
Solución:
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í
41#
ZLQ#HPaDUJR/#fRV#iDfRUHV#GH#[#HQ#fD#VHJhQGD#H[SUHVLyQ#UHghLHUHQ#GH#RWUD#WpFQLFD#SDUD#
RaWHQHUVH1#-Q#HVWH#FDVR/#VL#DSfLFDPRV#fD#byUPhfD#JHQHUDf#SDUD#UHVRfiHU#HFhDFLRQHV#GH#
VHJhQGR#JUDGR/#RaWHQHPRV>
#
+,
2
xx
1
0
0. !
/#
2
bb
4
a
c
x
2a
0r
0
!
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í
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+ , +,
+,
+,
2
(1
)
1
411
11
4
1
3
x
21
2
2
00 r 0
0
.r 0
.r 0
!!
!
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ghH#FhDQGR#[#!#
í
41#TRU#fR#ghH#HQ#fD#JUm¿FD#VyfR#
VH#ShHGH#iLVhDfLlDU#hQR#GH#fRV#FHURV##+í4/#3,#k#fD#
LQWHUVHFFLyQ#FRQ#Hf#HdH#`#+3/#4,1
-V#LPSRUWDQWH#UHFRQRFHU#ghH#fD#HFhDFLyQ#LQLFLDf#
GH#JUDGR#WUHV#WLHQH#WUHV#VRfhFLRQHV?#HQ#HVWH#FDVR#
hQD#VRfhFLyQ#UHDf#k#GRV#FRPSfHdDV1
&f#GHWHUPLQDU#fRV#iDfRUHV#GH#[#ghH#WLHQHQ#Df#FHUR#
FRPR#LPDJHQ>
42
xx1
0
..
!
ZH# RaVHUiD# ghH# fD# HFhDFLyQ# DQWHULRU# QR# WLHQH#
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-
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