Answer
Decreasing on $(-3,-2)$
Increasing on $(-2,\infty)$
Work Step by Step
We are given the function:
$f(x)=x\sqrt{x+3}$
Graph the function.
From the graph we find:
$f$ is decreasing on $(-3,-2)$
$f$ is increasing on $(-2,\infty)$
Check the result using a table of values: