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: 20

Answer

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

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 $-2x$. Thus, $f(-5) = -2(-5)=10$ (b) $f(-1)$ For $x=-1$ the function is defined by $3x-1$. Thus, $f(-1) = 3(-1)-1=-3-1=-4$ (c) $f(0)$ For $x=0$ the function is defined by $3x-1$. Thus, $f(0) = 3(0)-1=0-1=-1$ (d) $f(3)$ For $x=3$ the function is defined by $-4x$. Thus, $f(3) = -4(3)=-12$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.