Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 374: 17

Answer

stretch $\frac{1}{x}$ vertically by a factor of 2. (a) domain $(-\infty,0)U(0,\infty)$ (b) range $(-\infty,0)U(0,\infty)$ (c) increasing $none$ (d) decreasing $(-\infty,0)U(0,\infty)$

Work Step by Step

The graph of $f(x)=\frac{2}{x}$ can be obtained by stretching $\frac{1}{x}$ vertically by a factor of 2. See graph, we can identify the following: (a) domain $(-\infty,0)U(0,\infty)$ (b) range $(-\infty,0)U(0,\infty)$ (c) increasing $none$ (d) decreasing $(-\infty,0)U(0,\infty)$
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