# How do you write # y=|x+1|-4# as a piecewise function?

##### 1 Answer

#### Explanation:

**Given:**

We draw the graph of this function first

We find the **boundary line** first.

Later, once we find the "Piece-wise Functions", we can graph those as well and compare the graphs.

We can accomplish this process by setting what is inside **absolute value** to ZERO, and then solving for

So, when

we get

When **Positive,** we just consider the expression as it is,

but if **Negative,** we must **negate the whole expression**

Hence,

our **required Piece-wise Functions** are

We will graph the **Piece-wise Functions** below:

Hope this helps.