# What is the domain and range of #y=-|x|-9#?

##### 1 Answer

Feb 4, 2018

Domain:

Range:

#### Explanation:

The domain of the function

Since there is a minus sign in front of the absolute value, we know that the graph "opens downward," like this:

graph{|x|*-1 [-10, 10, -5, 5]}

(This is the graph of

This means that the function has a maximum value. If we find the maximum value, we can say that the function's range is

The maximum value can be found by graphing the function:

graph{|x|*-1-9 [-10, 10, -15, -5]}

The highest value that the function reaches is