Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.1 Graphing and Functions - Exercise Set 7.1 - Page 418: 45

Answer

(a) $f(6)=1$ (b) $f(-6)=-1$

Work Step by Step

RECALL: $f(a)$ represents the value of the function $f$ when $x=a$. Replace $x$ with the given value to obtain: (a) $f(6) = \dfrac{6}{|6|} \\f(6)= \dfrac{6}{6} \\f(6)=1$ (b) $f(-6) = \dfrac{-6}{|-6|} \\f(-6)= \dfrac{-6}{6} \\f(-6)=-1$
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