College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 79

Answer

4

Work Step by Step

We are given: $f(x)=4x+3$ We find the difference quotient: $\displaystyle \frac{f(x+h)-f(x)}{h}=$ $\displaystyle =\frac{4(x+h)+3-(4x+3)}{h}$ $\displaystyle =\frac{4x+4h+3-4x-3}{h}$ $\displaystyle =\frac{4h}{h}$ $=4$
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