College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 192: 30

Answer

$f(-2)=-1$ $f(-1)=-1$ $f(0)=0$ $f(5)=1$ $f(x^{2})=1$ $f(\frac{1}{x})=1$

Work Step by Step

We are given $f(x)=\frac{|x|}{x}$ Let's evaluate: $f(-2)=\frac{|-2|}{-2}=\frac{2}{-2}=-1$ $f(-1)=\frac{|-1|}{-1}=\frac{1}{-1}=-1$ $f(0)=\frac{|0|}{0}=0$ $f(5)=\frac{|5|}{5}=\frac{5}{5}=1$ $f(x^{2})=\frac{|x^{2}|}{x^{2}}=1$ $f(\frac{1}{x})=\frac{|\frac{1}{x}|}{\frac{1}{x}}=1$
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