Chapter 8.7, Problem 5OE

To determine

To find: The range of the given function.

Answer to Problem 5OE

The range is $\left\{-7,5\right\}$ .

Explanation of Solution

Given:

The given function is:

  $M\left(x\right)=3x^2-7$

And the given domain is:

  $D=\left\{-2,0,2\right\}$

In order to find the range of the given function, replace $x$ with each member of the domain.

The table given below shows the corresponding value of $M\left(x\right)$ after replacing $x$ with each member of the given domain is as:

Table1

$x$	$3x^2-7$
$-2$	$3{\left(-2\right)}^2-7=5$
$0$	$3{\left(0\right)}^2-7=-7$
$2$	$3{\left(2\right)}^2-7=5$

So, the range of the given function is:

  $R=\left\{-7,5\right\}$

Therefore, the range is $\left\{-7,5\right\}$ .