Question

Question #27269

Answer 1

The domain is `(-5,9]` and the range is `[-5,6)`.

Explanation:

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

Looking from left to right, `-5< x<=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 `(-5,9]`.

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<=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 `[-5,6)`.