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 54: 17

Answer

The relation does not represent a function.

Work Step by Step

According to the definition of a function, an element from the first set can't be paired with more than one element from the second set. In this case, "$20$ hours", which is from the first set: "Hours worked", is paired with "$\$200$" and "$\$300$" (Both from the second set: "Salary"). Therefore, this relation can't represent a function.
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