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: 79



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: $\dfrac{f(x+h)-f(x)}{h} \\=\dfrac{4(x+h)+3-(4x+3)}{h} \\=\dfrac{4x+4h+3-(4x+3)}{h} \\=\dfrac{4x+4h+3-4x-3}{h} \\=\dfrac{4h}{h} \\=4$
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