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 - Page 180: 122

Answer

The given statement is false. The domain of the graph is $\left[ -4,4 \right]$.

Work Step by Step

The points included in the interval are marked by black dots in the graph and those not included are marked with hollow dots. Since all the points between -4 and 4 give a definite value of the function, they all are included in the domain of the function. So, the domain will be $\left[ -4,-1 \right)\cup \left[ -1,4 \right]$ or $\left[ -4,4 \right]$ Hence, the provided statement is false. The domain of the graph will be $\left[ -4,4 \right]$.
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