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: 55

Answer

The difference quotient for the given function is $4$

Work Step by Step

$f(x)=4x$ Find the difference quotient $\dfrac{f(x+h)-f(x)}{h}$ Start by finding $f(x+h)$. Substitute $x$ by $x+h$ in $f(x)$ and simplify: $f(x+h)=4(x+h)=4x+4h$ Substitute the known values into the formula for the difference quotient and simplify: $\dfrac{f(x+h)-f(x)}{h}=\dfrac{4x+4h-4x}{h}=\dfrac{4h}{h}=4$ The difference quotient for the given function is $4$
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