7/23/2019 FUNCIN 7

1/2

FUNCIN: y = f (x) y es funcin de x

FUNCIN LINEAL : f (x) = a x + b a = !endien"e b = in"e#ce!"$ c$n e% e&e '

i a = b = * f (x) = x : Funcin iden"idad

i a = * f (x) = x : Funcin c$ns"an"ei a = * b = * f (x) = x : Funcin NULA

FUNCIN AL,- A.,LU/, : f (x) = x= x x * x x a A = d$;ini$ de f? x y = f (x)

en"$nces f 7 : . A es %a in>e#sa de f? . = #an$ de f y x = f7 (y)

LI0I/E

?@ La f$#;a inde"e#;inada*

* se e>i"a : fac"$#iand$ #aci$na%iand$ $ a!%icand$ e%

"e$#e;a Li; x

senx= seBn %a funcin f (x)

(x)4

(x)Csea -ACI,NAL

I--ACI,NAL $ /-I9,N,0E/-ICA #es!ec"i>a;en"e?

5?@ La f$#;a inde"e#;inada

se e>i"a di>idiend$ nu;e#ad$# y e% den$;inad$# de

(x)4

(x)C en"#e xn ? n es e% ;ay$# ex!$nen"e?

Li;

x 7 *

7/23/2019 FUNCIN 7

2/2

D?@ La f$#;a inde"e#;inada se e>i"a c$ns"#uyend$ e% nB;e#$ e =

@x

Li; ( +

x

)

x = Li; ( + x)6x e = 5? 5 x 7 *

8?@ Fac"$# #aci$na%ian"e :

( ) ( nnnnnn )@n5@n)@n .??????????.AA.@A +++ = A 7 .

F ? -?

e#ie A#i";G"ica : a + (a + #) + (a + 5#) + ?????????? + (a + ( n 7 ) #) =( )

5

nua +

e#ie 9e$;G"#ica : a + a# + a#5

+ ????????????+ a#n 7

= a n

n

#)

#)

C,N/INUI