Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises: 18

Answer

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

Work Step by Step

To evaluate the piecewise-defined function, identify the 'piece' of the function that covers the given value of $x$. Then substitute, the given value of $x$. (a) $f(-5)$ For $x=-5$ the function is defined by $x-2$. Thus, $f(-5) = -5-2=-7$ (b) $f(-1)$ For $x=-1$ the function is defined by $x-2$. Thus, $f(-1) = -1-2=-3$ (c) $f(0)$ For $x=0$ the function is defined by $x-2$. Thus, $f(0) = 0-2=-2$ (d) $f(3)$ For $x=3$ the function is defined by $5-x$. Thus, $f(3) = 5-3=2$
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