Chapter 1.1, Problem 40E

To determine

To state: the domain, range of given graph relation, and give explanation for whether graph represents a function.

Answer to Problem 40E

Domain = $\left\{x\right|-8\le x\le 8\}$

Range = $\left\{y\right|-8\le y\le 8\}$

Graph is not a function because there are two values of y for a particular value of x.

Explanation of Solution

Given information: The given graph relation is as follows:

  

Calculation:

Since all the possible values of x is a domain.So, the domain value is $\left\{x\right|-8\le x\le 8\}$ .

All the possible values of y represent the range.So, the range is $\left\{y\right|-8\le y\le 8\}$ .

Since there are two values of y for a particular value of x (except for $x=8\text{ and}-8$ ), hence this graph is not a function.