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: 66

Answer

$\text{Domain:}\;\{\text{red},\text{blue},\text{green}\}$ $\text{Range:}\;\{\frac{1}{4},\frac{1}{8},\frac{5}{8}\}$ $\text{Yes, this relation is a function.}$

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 $\{\text{red},\text{blue},\text{green}\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{\frac{1}{4},\frac{1}{8},\frac{5}{8}\}$. A relation is a function 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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