Chapter 1.4, Problem 1MCQ

To determine

To find: domain and range of the relation and explain whether the relation is a function.

Answer to Problem 1MCQ

  $\begin{array}{c}\text{Domain}=\left\{-2,2,4\right\}\\ \text{Range}=\left\{-8,-3,3,7\right\}\end{array}$

This relation is not a function because domain has repeating numbers.

Explanation of Solution

Given information: The given relation is as follows:

  $\left\{\left(-2,-3\right),\left(-2,3\right),\left(4,7\right),\left(2,-8\right),\left(4,3\right)\right\}$

Calculation:

Domain is a set of non-repeating x-values in order from smallest to largest. Thus, the domain is $\left\{-2,2,4\right\}$ .

Range is a set of non-repeating y-values in order from smallest to largest. Thus, the range is $\left\{-8,-3,3,7\right\}$ .

Since, the domain has a repeating number $-2$ , so for this value of x there are two different values of y. So, this relation is not a function.