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: 9

Answer

$\text{Domain:}\;\{\text{Carol}\}$ $\text{Range:}\;\{22400,23700,25200\}$ $\text{No, this relation is not a function.}$

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 $\{\text{Carol}\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{22400,23700,25200\}$. A relation is a function if each $x$ value has only one unique $y$ value. Since $\text{Carol}$, an element of the domain, is repeated with multiple $y$ values, this relation is not a function.
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