College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.2: 71

Answer

The difference quotient for the given function is $0$

Work Step by Step

$f(x)=6$ Find the difference quotient $\dfrac{f(x+h)-f(x)}{h}$ Since $f(x)$ is a constant function, $f(x+h)=f(x)=6$ Substitute the known values into the formula for the difference quotient and simplify: $\dfrac{f(x+h)-f(x)}{h}=\dfrac{6-6}{h}=\dfrac{0}{h}=0$ The difference quotient for the given function is $0$
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