Answer
$\text{Domain: }
(-\infty,\infty)
\\\text{Range: }
(-\infty,1]$
Work Step by Step
The graph of $
g\left(x\right)=-\left|x+1\right|+1
$ (Exercise 46) has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Domain: }
(-\infty,\infty)
\\\text{Range: }
(-\infty,1]
.\end{array}