## Precalculus (10th Edition)

Published by Pearson

# Chapter 3 - Linear and Quadratic Functions - 3.1 Properties of Linear Functions and Linear Models - 3.1 Assess Your Understanding - Page 126: 22

not linear

#### Work Step by Step

A function is linear if there is a constant rate of change in the function, which is also called the slope. Note that: $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}\\1-\frac{1}{2}=\frac{1}{2}\\2-1=1\\4-2=2$ The difference of consecutive $y$-values is not constant hence the function is not linear.

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