Chapter 3 - Section 3.6 - Graphing Piecewise-Defined Functions and Shifting and reflecting Graphs of Functions - Exercise Set - Page 183: 60

$\text{Domain: } (-\infty,\infty) \\\text{Range: } (-\infty,1]$

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}