Chapter 3.8, Problem 3WE

To determine

To find: Therange of given function.

Answer to Problem 3WE

The Range of the given function is {2, -2}.

Explanation of Solution

Given Information: - The given function $g:x\to x^2-2$ and Domain D = {-2, 0, 2}.

The function is $g:x\to x^2-2$

Substitute the values of $x=-2,0,2$

Then $g(-2)={(-2)}^2-2$

  $\begin{array}{l}=4-2\\ =2\end{array}$

  $g(0)={(0)}^2-2$

  $\begin{array}{l}=0-2\\ =-2\end{array}$

  $g(2)={(2)}^2-2$

  $\begin{array}{l}=4-2\\ =2\end{array}$

Thus, the range of given function is {2, -2}.