Question

Dada a função y= 2× + × + 4, determine o conjunto imagem referente aos domínios -2,-1,0,1,2,3,4.

Answer 1

Lembrando que f(x) = y

f(x)= 2x + x + 4
x={-2,-1,0,1,2,3,4}

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

f(-1) = 2.(-1)+(-1)+4
f(-1) = -2-1+4
f(-1) = 1
 
f(0) = 2.0+0+4
f(0) = 4

f(1) = 2.1+1+4
f(1) = 2+5
f(1) = 7

f(2) = 2.2+2+4
f(2) = 4+6
f(2) = 10

f(3) = 2.3+3+4
f(3) = 6+7
f(3) = 13

f(4) = 2.4+4+4 
f(4) = 8+8
f(4) = 16

Im={-2, 1, 4, 7, 10, 13, 16}