# Question #e2f59

##### 1 Answer

Feb 18, 2015

The graph is this:

graph{|x+2|-|x+1| [-10, 10, -5, 5]}

But why?

We have to "open" all the absolute values, so we have to write for which values of x the two arguments are positive or zero.

The first:

The second:

So we have three intervals:

So:

In the first interval both arguments are negative or zero and the function becomes:

In the second interval, the first is positive and the second is negative or zero and the function becomes:

In the third both arguments are positive or zero and the function becomes: