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: 19

Answer

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

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 $2+x$. Thus, $f(-5) = 2+(-5)=-3$ (b) $f(-1)$ For $x=-1$ the function is defined by $-x$. Thus, $f(-1) = -(-1)=1$ (c) $f(0)$ For $x=0$ the function is defined by $-x$. Thus, $f(0) = -0=0$ (d) $f(3)$ For $x=3$ the function is defined by $3x$. Thus, $f(3) = 3(3)=9$
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