College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.1 - Properties of Linear Functions and Linear Models - 4.1 Assess Your Understanding: 6

Answer

True

Work Step by Step

The graph of a function is increasing on the interval $(a, b)$ if for every real numbers $c$ and $d$, where $c \lt d$, that are within the given interval, $f(c) \lt f(d)$. Graphically, a graph is increasing on an interval $(a, b)$ when the graph rises from left to right. Graphing the given function gives a parabola that opens upward with vertex at $(0, 0)$. (Refer to the image below for the graph.) Since the graph is rising from $x=0$ to the right without bound, the graph is increasing on the interval $(0, +\infty)$. Thus, the given statement is true.
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