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: 8

Answer

positive

Work Step by Step

If $m$, the slope of the graph is positive of a linear function then the function is increasing over the domain of the function. This is because if $m\gt0$ and $x_0\gt0$ then $mx+b\lt m(x+x_0)+b$, hence the value of the function increases.
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