Precalculus (10th Edition)

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

Chapter 3 - Linear and Quadratic Functions - 3.1 Properties of Linear Functions and Linear Models - 3.1 Assess Your Understanding - Page 126: 24


The function is linear. Slope $= 4$

Work Step by Step

A function is linear if there is a constant rate of change of the function, which is also called the slope. Note that: $0=-4+4\\ 4=0+4\\ 8=4+4\\ 12=8+4$ Hence. the difference of all consecutive $y$-values is $4$, which means that the slope is $4$. Thus, the function is linear.
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