Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.2 The Graph of a Function - 2.2 Assess Your Understanding - Page 66: 31

Answer

(a) $ 3$ (b) $ -2$ (c) $ -1$ (d) $ 1$ (e) $ 2$ (f) $ -\frac{1}{3}$

Work Step by Step

Using the given graphs yield: (a) $(f+g)(2)=f(2)+g(2)=2+1=3$ (b) $(f+g)(4)=f(4)+g(4)=1-3=-2$ (c) $(f-g)(6)=f(6)-g(6)=0-1=-1$ (d) $(g-f)(6)=g(6)-f(6)=1-0=1$ (e) $(f\cdot g)(2)=f(2)\cdot g(2)=2(1)=2$ (f) $(\frac{f}{g})(4)=f(4)/g(4)=1/(-3)=-\frac{1}{3}$
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