Question

Find the range of the function for given domain f(x)=2x-8; (-2,-1,0,1,2)

Answer 1

Range = {-12, -10, -8, -6, -4}

Explanation:

Given function:

`f(x)=2x-8`

Given domain:

{-2, -1, 0, 1, 2}

To find the range of the given function, simply substitute each value of the domain into the function:

`\begin{aligned}x=-2 \implies f(-2)&=2(-2)-8\\&=-4-8\\&=-12\end{aligned}`

`\begin{aligned}x=-1 \implies f(-1)&=2(-1)-8\\&=-2-8\\&=-10\end{aligned}`

`\begin{aligned}x=0 \implies f(0)&=2(0)-8\\&=0-8\\&=-8\end{aligned}`

`\begin{aligned}x=1 \implies f(1)&=2(1)-8\\&=2-8\\&=-6\end{aligned}`

`\begin{aligned}x=2 \implies f(2)&=2(2)-8\\&=4-8\\&=-4\end{aligned}`

Therefore the range of the given function is:

• {-12, -10, -8, -6, -4}