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: 18


(a) $f(-5)=-7$ (b) $f(-1)=-3$ (c) $f(0)=-2$ (d) $f(3)=2$

Work Step by Step

We are given: $f(x)=\left\{\begin{array}{l} x-2\ ~~~~~~~~\mathrm{i}\mathrm{f}\ x\lt 3\\ 5-x\ ~~~~~~~~\mathrm{i}\mathrm{f}\ x\geq 3 \end{array}\right.$ We evaluate by plugging in the $x$ values into the piece of the function that corresponds to the proper interval: (a) $f(-5)=-5-2=-7$ (b) $f(-1)=-1-2=-3$ (c) $f(0)=0-2=-2$ (d) $f(3)=5-3=2$
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