Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.2 - Basics of Functions and Their Graphs - Exercise Set: 4

Answer

The given relation is not a function. Domain: $\left\{5, 6\right\}$ Range: $\left\{6, 7\right\}$

Work Step by Step

RECALL: (i) A function is a relation where every first coordinate is paired with exactly one second coordinate. (ii) The domain of a relation is a set that contains all the first coordinates. (iii) The range of a relation is a set that contains all the second coordinates. Note that the first coordinates $5$ and $6$ are paired with two different second coordinates. Thus, the given relation is NOT a function. The domain of the relation is $\left\{5, 6\right\}$. The range of the relation is $\left\{6, 7\right\}$.
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