Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 42

Answer

$f(-3) = 4.5$ $f(0) = 3$ $f(2) = -1$ and the graph is in the picture.

Work Step by Step

if $x\lt2$ then $f(x)=3-0.5x$ if $x\geq2$ then $f(x)=2x-5$ So $-3 \lt 2$ so $f(-3) = 3+1.5 = 4.5$ $0 \lt 2$ so $f(0) =3-0 = 3$ $2 \geq 2$ so $f(2) = 4-5 = -1$ and the graph is in the picture.
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