College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.6 - Graphs of Basic Functions - 2.6 Exercises - Page 239: 20

Answer

(a) $f(-5)=10$ (b) $f(-1)=-4$ (c) $f(0)=-1$ (d) $f(3)=-12$

Work Step by Step

We are given: $f(x)=\left\{\begin{array}{l} -2x~~~~~~\mathrm{i}\mathrm{f}\ x\lt -3\\ 3x-1~~~\mathrm{i}\mathrm{f}\ -3\leq x\leq 2\\ -4x~~~~~~~\mathrm{i}\mathrm{f}\ x\gt 2 \end{array}\right.$ We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval: (a) $f(-5)=-2(-5)=10$ (b) $f(-1)=3(-1)-1=-3-1=-4$ (c) $f(0)=3(0)-1=0-1=-1$ (d) $f(3)=-4(3)=-12$
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