Chapter 1.1, Problem 39E

To determine

To identify: The function family and then to describe the domain and range.

Answer to Problem 39E

  $g$ belongs to family of absolute value functions, its domain is all real numbers and range is $y\ge -1$ .

Explanation of Solution

Given information: Function is $g(x)=\left|x+2\right|-1$ .

Calculation:

  $g$ is an absolute value function.

Domain: All real numbers

Range: $y\ge -1$

Above stated answers match with graphing calculator results,

thus, $g$ belongs to family of absolute value functions, its domain is all real numbers and range is $y\ge -1$ .