Chapter 4.6, Problem 4LC

To determine

To find: range of given domain of the function.

Answer to Problem 4LC

Range of the given domain of function is $\left\{-2,-1,0,1,2\right\}$ .

Explanation of Solution

Given information: function $f\left(x\right)=\frac{1}{2}x$ and domain $\left\{-4,-2,0,2,4\right\}$

To find the range substitute each number of domain in given function,

  $\begin{array}{l}f\left(-4\right)=\frac{1}{2}\left(-4\right)\\ =-2\end{array}$

  $\begin{array}{l}f\left(-2\right)=\frac{1}{2}\left(-2\right)\\ =-1\end{array}$

  $\begin{array}{l}f\left(0\right)=\frac{1}{2}\left(0\right)\\ =0\end{array}$

  $\begin{array}{l}f\left(2\right)=\frac{1}{2}\left(2\right)\\ =1\end{array}$

  $\begin{array}{l}f\left(4\right)=\frac{1}{2}\left(4\right)\\ =2\end{array}$

Therefore the range of the given domain is $\left\{-2,-1,0,1,2\right\}$