Answer
$\text{Domain: }
(-\infty,\infty)
\\\text{Range: }
(-\infty,3]
$
Work Step by Step
The graph of $
h\left(x\right)=-\left|x+2\right|+3
$ (Exercise 45) has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Domain: }
(-\infty,\infty)
\\\text{Range: }
(-\infty,3]
.\end{array}