Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises: 20

Answer

$\text{ NOT a function }\\\text{Domain: } \{ -3,9 \}\\\text{Range: }\{ -2,2,5 \}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given relation, $\{ (9,-2),(-3,5),(9,2) \}$ is a function, check if the first components are all unique. The domain is the set of all first components, while the range is the set of all second components. $\bf{\text{Solution Details:}}$ The first component, $ 9 ,$ is used more than once. Hence, the given set is NOT a function. The domain is the set of all first components, while the range is the set of all second components. Hence, the given set of ordered pairs has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } \{ -3,9 \}\\\text{Range: }\{ -2,2,5 \} .\end{array}
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