Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 53: 38


a. $\quad 3h$ b. $\quad 3$

Work Step by Step

a. $f(x+h)=3(x+h)-1=3x+3h-1$ $f(x+h)-f(x)=3x+3h-1-(3x-1)$ $=3x+3h-1-3x+1$ $=3h$ b. using the result of (a), $\displaystyle \frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=\quad$ .. reduce h, $=3$
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