College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises: 43

Answer

$\frac{f(a+h)-f(a)}{h}=-2$

Work Step by Step

We are given: $f(x) = 5-2x$ We evaluate: $f(a) = 5-2a$ $f(a+h) =5-2(a+h) = 5-2a-2h$ $\frac{f(a+h)-f(a)}{h}=\frac{5-2a-2h-(5-2a)}{h}=\frac{5-2a-2h-5+2a}{h}=\frac{-2h}{h}=-2$
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