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 - Page 508: 12


$\text{Domain:}\;\{-7,-5,-2,0\}$ $\text{Range:}\;\{-1,0,2,3\}$ $\text{Yes, this relation is a function.}$

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 $\{-7,-5,-2,0\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{-1,0,2,3\}$. 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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