Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 55: 51


a. $2x+2h+1$ b. $2h$ c. $2$

Work Step by Step

$f(x)=2x+1$ a. $f(x+h)=2(x+h)+1=2x+2h+1$ b. $f(x+h)-f(x)=2x+2h+1-2x-1=2h$ c. $\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{2h}{h}=2$
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