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: 19

Answer

(a) $f(-5)=-3$ (b) $f(-1)=1$ (c) $f(0)=0$ (d) $f(3)=9$

Work Step by Step

We are given: $f(x)=\left\{\begin{array}{l} 2+x~~~~~~~~\mathrm{i}\mathrm{f}\ x\lt -4\\ -x~~~~~~~~~~~~\mathrm{i}\mathrm{f}\ -4\leq x\leq 2\\ 3x~~~~~~~~~~~~~\mathrm{i}\mathrm{f}\ x\gt 2 \end{array}\right.$ We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval: (a) $f(-5)=2+-5=-3$ (b) $f(-1)=-(-1)=1$ (c) $f(0)=-0=0$ (d) $f(3)=3*3=9$
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