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: 3

Answer

The relation is not a function. Domain: $\left\{3, 4\right\}$ Range: $\left\{4, 5\right\}$

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 $3$ and $4$ are paired with two different second coordinates. Thus, the given relation is NOT a function. The domain of the relation is $\left\{3, 4\right\}$. The range of the relation is $\left\{4, 5\right\}$.
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