College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding: 30

Answer

(a) -1 (b) 0 (c) 5 (d) 11

Work Step by Step

We plug in the $x$ values into the the piece of the graph whose interval includes that $x$ value: (a) $f(-1)=(-1)^{3}=-1$ (b) $f(0)=(0)^{3}=0$ (c) $f(1)=3(1)+2=3+2=5$ (d) $f(3)=3(3)+2=9+2=11$
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