Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 55: 76

Answer

$-3$

Work Step by Step

Given $f(x)=-3x+1$ The difference quotient of a function $f(x)$ can be obtained by $\frac{f(x+h)-f(x)}{h}$ provided $h\ne0$, hence: $\frac{f(x+h)-f(x)}{h} = \frac{-3(x+h)+1-(-3x+1)}{h}$ $= \frac{-3x-3h+1+3x-1}{h}$ $= \frac{-3h}{h}$ Thus, the difference quotient is $-3$.
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