Chapter 8.7, Problem 6WE

To determine

To find: The range of the given function.

Answer to Problem 6WE

The range is $\left\{3,7,19\right\}$ .

Explanation of Solution

Given:

The given function is:

  $H:b\to b^2+3$

And the given domain is:

  $D=\left\{0,2,4\right\}$

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

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

Table1

$b$	$b^2+3$
$0$	${\left(0\right)}^2+3=3$
$2$	${\left(2\right)}^2+3=7$
$4$	${\left(4\right)}^2+3=19$

So, the range of the given function is:

  $R=\left\{3,7,19\right\}$

Therefore, the range is $\left\{3,7,19\right\}$ .