Question

Seja a função f: D → ℝ dada pela lei de formação f(x) = 2x – 3, de domínio D = { –2, –1, 0, 1, 2, 3}. Determine o conjunto imagem dessa função.

a){-9, – 7, – 5, –3, – 1}
b){-9, – 7, – 5, –3, – 1, 1}
c){– 7, – 5, –3, – 1, 1}
d){ – 5, –3, – 1, 1,3}
e){– 7, – 5, –3, – 1, 1, 3}

Answer 1

$\boxed{\begin{array}{l}\sf f(x)=2x-3\\\sf f(-2)=2\cdot(-2)-3=-7\\\sf f(-1)=2\cdot(-1)-3=-5\\\sf f(0)=2\cdot0-3=-3\\\sf f(1)=2\cdot1-3=-1\\\sf f(2)=2\cdot2-3=1\\\sf f(3)=2\cdot3-3=3\\\sf Im=\{-7,-5,-3,-1,1,3\}\end{array}}$