Elementary Algebra

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

Chapter 11 - Additional Topics - Chapter 11 Review Problem Set: 68

Answer

$\text{Domain:}\;\{1,2\}$ $\text{Range:}\;\{-16,-8,8,16\}$ $\text{No, this relation is not a function.}$

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 $\{1,2\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{-16,-8,8,16\}$. A relation is a function if each $x$ value has only one unique $y$ value. Since $1$ and $2$, elements of the domain, are repeated with multiple $y$ values, this relation is not a function.
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