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: 25

Answer

shift $\frac{1}{x^2}$ to the right 3 units, (a) domain $(-\infty,3)U(3,\infty)$ (b) range $(0,\infty)$ (c) increasing $(-\infty,3)$ (d) decreasing $(3,\infty)$

Work Step by Step

The graph of $f(x)=\frac{1}{(x-3)^2}$ can be obtained by shifting $\frac{1}{x^2}$ to the right 3 units. See graph, we can identify the following: (a) domain $(-\infty,3)U(3,\infty)$ (b) range $(0,\infty)$ (c) increasing $(-\infty,3)$ (d) decreasing $(3,\infty)$
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