Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 53: 10



Work Step by Step

If a relation is to be a function, each element in the domain set must correspond to one element exactly in the range set. Consider the relation defined by the set of ordered pairs $\{(1,2),(1,3)\}$. Here, the domain element 1 corresponds to two range elements 2 and 3. So, this relation is not a function. Hence the given statement is $\text{false}$.
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