Chapter 8.7, Problem 4WE

To determine

To find: The range of the given function.

Answer to Problem 4WE

The range is $\left\{7,1,-1\right\}$ .

Explanation of Solution

Given:

The given function is:

  $h\left(y\right)=1-2y$

And the given domain is:

  $D=\left\{-3,0,1\right\}$

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

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

Table1

$y$	$1-2y$
$-3$	$1-2\left(-3\right)=7$
$0$	$1-2\left(0\right)=1$
$1$	$1-2\left(1\right)=-1$

So, the range of the given function is:

  $R=\left\{7,1,-1\right\}$

Therefore, the range is $\left\{7,1,-1\right\}$ .