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: 80



Work Step by Step

We are given: $f(x)=-3x+1$ We find the difference quotient: $\displaystyle \frac{f(x+h)-f(x)}{h}$ $\displaystyle =\frac{-3(x+h)+1-(-3x+1)}{h}$ $\displaystyle =\frac{-3x-3h+1+3x-1}{h}$ $\displaystyle =\frac{-3h}{h}$ $\displaystyle =-3$
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