Chapter 8, Problem 34CT

To determine

To find: The range of given function.

Answer to Problem 34CT

The range of given function is $0,-1,0$ .

Explanation of Solution

Given information:

The given functionis $g:x\to x^2-1,D=\left\{-1,0,1\right\}$ .

Calculation:

In $x^2-1$ replace $x$ with each member of $D$ .

Calculate the range.

For $-1$

  ${\left(-1\right)}^2-1=0$

For $0$

  ${\left(0\right)}^2-1=-1$

For $1$

  ${\left(1\right)}^2-1=0$

Therefore,the range of given functionis $0,-1,0$ .