Chapter 1.1, Problem 38E

To determine

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

Answer to Problem 38E

Domain = $\left\{x\right|x\in ℝ\}$

Range = $\left\{y\right|y\in ℝ\}$

Graph is not a function because there are several values of y for a single value of x.

Explanation of Solution

Given information: The given graph relation is as follows:

  

The given graph represents inequality.

Calculation:

The elements of real numbers represent the possible values of x.So, the domain value is $\left\{x\right|x\in ℝ\}$ .

The elements of real numbers represent the possible values of y.So, the range is $\left\{y\right|y\in ℝ\}$ .

Since there are several values of y for a single value of x, hence this graph is not a function.