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: 10

Answer

$\text{Domain:}\;\{4\}$ $\text{Range:}\;\{6,8,10,12\}$ $\text{No, this relation is not a function.}$

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 $\{4\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{6,8,10,12\}$. A relation is a function if each $x$ value has only one unique $y$ value. Since $4$, an element of the domain, is repeated with multiple $y$ values, this relation is not a function.
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