Answer
$(-\infty,-1)$ $f$ is decreasing
$(-1,0)$ $f$ is constant
$(0,\infty)$ $f$ is increasing
Work Step by Step
We are given the function:
$f(x)=|x|+|x+1|$
Graph the function:
Determine the intervals on which $f$ is increasing, decreasing or is constant:
On $(-\infty,-1)$ $f$ is decreasing.
On $(-1,0)$ $f$ is constant.
On $(0,\infty)$ $f$ is increasing.