Question

me ajudem, é urgente

Answer 1

Resposta:

Explicação passo-a-passo:

9)

A ={-2,-1,0,1,2}

B = {-1,0,1,2,3,4,5}

Domínio

Contradomínio

Imagem

A) x+2

A ={-2,-1,0,1,2}

B = {-1,0,1,2,3,4,5}

f(x)= x+2

f(-2)= -2+2= 0

f(-1)= -1+2= 1

f(0)= 0+2=2

f(1)= 1+2= 3

f(2)= 2+2= 4

R.:

Dom: A ={-2,-1,0,1,2}

Contradominio: B = {-1,0,1,2,3,4,5}

Imagem: {0,1,2,3,4}

________________

B)

f(x)= x^2

Dom: A ={-2,-1,0,1,2}

Contradominio: B = {-1,0,1,2,3,4,5}

f(-2)= (-2)^2= 4

f(-1)= (-1)^2= 1

f(0)= 0^2= 0

f(1)= 1^2=1

f(2)= 2^2= 4

R :

Dom: A ={-2,-1,0,1,2}

Contradominio: B = {-1,0,1,2,3,4,5}

Imagem: {0,1,4}

_____________

C)

f(x) = |2x|

A ={-2,-1,0,1,2}

B = {-1,0,1,2,3,4,5}

f(x)= |2x|

f(-2)= |2.(-2)|= |-4| = 4

f(-1)= |2(-1)|= |-2| = 2

f(0)= |2.0|= 0

f(1)= |2.1| = 2

f(2)= |2.2|= 4

R.:

Dom: A ={-2,-1,0,1,2}

Contradominio: B = {-1,0,1,2,3,4,5}

Im: {0,2,4}

_________________

D)

f(x) = |x|

A ={-2,-1,0,1,2}

B = {-1,0,1,2,3,4,5}

R.:

Dom: A ={-2,-1,0,1,2}

Contradominio: B = {-1,0,1,2,3,4,5}

Im: {0,1,2}

f(-2)= |-2|= 2

f(-1)=|-1|= 1

f(0)= |0|= 0

f(1)= |1| = 1

f(2)= |2|=2

Im: {0,1,2}

____________

10)

A={ x E Z / -2<x<2}

B = {x E Z / -5 < x < 5}

A ={-1,0,1}

B = {-4,-3,-2,-1,0,1,2,3,4}

x=-1

y= 2x+1 = 2.(-1)+1= -2+1 = - 1

(-1, -1)

x= 0

y = 2.0+1= 1

(0,1)

x= 1

y = 2.1+1= 2+1= 3

(1,3)

Im: {-1,1,3}

B = {-4,-3,-2,-1,0,1,2,3,4}

Excluir: {-1,1,3}

Sobra:

{-4,-3,-2,0,2,4}

R.: Sobrou: não pertencem a imagem

{-4,-3,-2,0,2,4}

Quais elementos de B que não pertencem a imagem.

{-4,-3,-2,0,2,4}

_____________

11)

f: N E Z

f(x)= -x

Conjunto imagem:

f(2)= -2

f(1)= -1

f(0)= -0=0

f(-1)= -(-1)= 1

f(-2)= -(-2)= 2

R.: Imagem: Z (números inteiros)

Im: {N E Z}