Funciones Basicas

Funciones Básicas
Constante f (x) = k Identidad f (x) = x

Cálculo Diferencial e Integral.
Farith Briceño

Parábola f (x) = x2

Dom f = R;

Rgo f = fkg

Dom f =R;

Rgo f = R

Dom f = R;

Rgo f = [0; 1) p x

Cúbica f (x) = x3

Polinomio grado 4 f (x) = x4

Raíz cuadrada f (x) =

Dom f = R;

Rgo f = R

Dom f = R;Rgo f = [0; 1) 1 x

Dom f = [0; 1) ;

Rgo f = [0; 1) 1 x2

Raíz cúbica f (x) =

p 3

x

Hipérbola f (x) =

Hipérbola cuadrática f (x) =

Dom f = R;

Rgo f = RDom f = R;

Rgo f = R

f0g

Dom f = R;

Rgo f = (0; 1)

Valor Absoluto f (x) = jxj

Parte entera f (x) = [[x]]

Signo f (x) = sgn x
y 1

0.5

0 -5 -2.5 02.5 x -0.5 5

-1

Dom f = R; Rgo f = [0; 1)

Dom f = R; 1

Rgo f = Z

Dom f = R;

Rgo f = f 1; 0; 1g

Seno f (x) = sen x

Coseno f (x) = cos x

Tangente f(x) = tan x

Dom f = R;

Rgo f = [ 1; 1]

Dom f = R;

Rgo f = [ 1; 1]

Dom f = R

Rgo f = R

n (2n

1)

2

o =n2Z

Cosecante f (x) = csc x

Secante f(x) = sec x

Cotangente f (x) = cot x

Dom f = R

fn = n 2 Zg ( 1; 1)

Dom f = R

Rgo f = R

Rgo f = R

n (2n

2 ( 1; 1)

1)

o =n2Z

Dom f = R

fn = n2 Zg

Rgo f = R

Arcoseno f (x) = arcsen x
y 1.5 1

Arcocoseno f (x) = arccos x
y 3 2.5

Arcotangente f (x) = arctan x
y 1.5

1

0.5

2

0.5 0 -10 0 -0.5 10x

0 -1 -0.5 0 0.5 x -0.5 1

1.5

1

0.5 -1 0 -1 -1.5 -0.5 0 0.5 x 1 -1.5 -1

Dom f = [ 1; 1] ; Rgo f =

h

; 2 2

i

Dom f = [ 1; 1] ; Rgo f = [0; ]

Domf = R; Rgo f =

; 2 2

Cálculo Diferencial e Integral - Funciones básicas.
Últim a actualizacón: Octubre 2011

Farith Briceño e-mail : farith.math@gmail.com 2