Chapter 1.1, Problem 40E

To determine

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

Answer to Problem 40E

  $h$ belongs to family of absolute value functions, its domain is all real numbers and range is $y\ge 2$ .

Explanation of Solution

Given information: Function is $h(x)=\left|x-3\right|+2$ .

Calculation:

The function $h$ is an absolute value function.

Domain: All real numbers

Range: $y\ge 2$

Above stated answers match with graphing calculator results,

thus, $h$ belongs to family of absolute value functions, its domain is all real numbers and range is $y\ge 2$ .