Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 2.1 Functions - 2.1 Assess Your Understanding - Page 58: 84



Work Step by Step

RECALL: $\\\\$The difference quotient of a function $f$ is given by the formula $\dfrac{f(x+h)-f(x)}{h}$ where $h \ne0$. Use the difference quotient formula above to obtain: $\dfrac{f(x+h)-f(x)}{h}\\=\dfrac{3(x+h)^2-2(x+h)+6-(3x^2-2x+6)}{h}\\=\dfrac{3x^2+6xh+3h^2-2x-2h+6-3x^2+2x-6}{h}\\=\dfrac{6xh+3h^2-2h}{h}\\=6x+3h-2.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.