# How do you write #m(x) = |x+2| - 7# as a piecewise function?

##### 1 Answer

Aug 6, 2017

#### Answer:

Use the definition of the absolute value function:

#### Explanation:

Given:

Here is a graph of equation [1]:

Substitute the definition into equation [1] with

Simplify the domain restrictions:

Distribute the minus sign:

Subtract 7 from each of the pieces:

Here is the graph of

Here is the graph of

Here is the graph of the two pieces together:

This shows that equation [4] is the correct answer.