# Question #27269

Dec 8, 2016

The domain is $\left(- 5 , 9\right]$ and the range is $\left[- 5 , 6\right)$.

#### Explanation:

The domain refers to the included values of $x$.

Looking from left to right, $- 5 < x \le 9$.

In other words, $x$ is between $- 5$ and $9$.
$- 5$ is NOT included because there is an open circle at $x = - 5$.
$9$ IS included because there is a dot or closed circle at $x = 9$.

The domain may also be written in interval notation as $\left(- 5 , 9\right]$.

The curved parentheses means $- 5$ is not included.
The square bracket means $9$ is included.

The range refers to the included values of $y$.

Looking from the bottom of the graph to the top, $- 5 \le y < 6$

$y$ is between $- 5$ and $6$.
$- 5$ is included because there is a closed circle at $y = - 5$.
$6$ is not included because there is an open circle at $y = 6$.

The range may be written in interval notation as $\left[- 5 , 6\right)$.