Question

Dado o conjunto {-1,0,1,2,3} determine o conjunto imagem de função f:. A) f(x)= 2x, B) f(x)=-x+1, C) f(x)=2-x,d)f(x)=x ao quadrado+ 1​

Answer 1

Resposta:

Explicação passo-a-passo:

a. f(x)=2x

f(-1)=2.-1=-2

f(0)=2.0=0

f(1)=2.1= 2

f(2)=2.2=4

f(3)=2.3=6

Im={-2,0,2,4,6}

b. f(x)= -x+1

f(-1)=  -(-1)+1=+1+1=2

f(0)=0+1=1

f(1)= -1+1=0

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

f(3)= -3+1= -2

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

c. f(x)= 2-x

f(-1)= 2 - (-1)= 2+1=3

f(0)= 2-0=2

f(1)= 2-1=1

f(2)=2-2=0

f(3)=2-3=-1

Im={-1,0,1,2,3}

d. f(x)=x²+1

f(-1)= (-1)²+1 = 1+1=2

f(0)=0²+1=0+1=1

f(1)= 1²+1=1+1=2

f(2)=2²+1= 4+1=5

f(3)=3²+1= 9+1= 10

Im={1,2,5,10}