Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.7 - Relations and Functions - Problem Set 11.7: 14

Answer

$\text{Domain:}\;\{-2,-1,0,1,2\}$ $\text{Range:}\;\{0,4,7\}$ $\text{Yes, this relation is a function.}$

Work Step by Step

The domain of a relation is the set of $x$ values for that function. In this relation, the set of $x$ values is $\{-2,-1,0,1,2\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{0,4,7\}$. A relation is a function if and only if each $x$ value has only one unique $y$ value. Since there are not elements of the domain that are repeated with different elements of the range, this relation is a function.
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