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 - Page 194: 16


not a function

Work Step by Step

$\bf{\text{Solution Outline:}}$ Express first the given diagram as a set of ordered pairs. Then check if the first components of the ordered pairs are all unique. $\bf{\text{Solution Details:}}$ In terms of a set of ordered pairs, the relation in the given diagram is equivalent to \begin{array}{l}\require{cancel} R=\{ (-3,4),(-3,1),(2,0) \} .\end{array} Since the first component, $-3,$ is used more than once, then the given relation is not a function.
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