Precalculus (6th Edition) Blitzer

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

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Concept and Vocabulary Check - Page 398: 3

Answer

The statement is true.

Work Step by Step

The graph of the reciprocal function $f\left( x \right)=\frac{1}{x}$ can be broken into two parts. For all positive values of $x$ , the graph of the function lies in the first quadrant and for all negative values of $x$ the graph lies in the third quadrant. Therefore, we can say that the function $f\left( x \right)=\frac{1}{x}$ is composed of two distinct branches.
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