# What is the domain and range for #y= -abs(x-5)#?

##### 1 Answer

Jun 25, 2018

#### Answer:

See below.

#### Explanation:

There is no restriction on

or

By definition of absolute value:

Therefore:

From this we can see that the minimum value is:

as

For

This is the maximum value:

Range is therefore:

or

The graph of

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