Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 195: 43

Answer

Decreasing on $(-\infty,0)$ Increasing on $(0,\infty)$

Work Step by Step

We are given the function: $g(x)=\dfrac{1}{2}x^2-3$ Graph the function. From the graph we find: $g$ is decreasing on $(-\infty,0)$ $g$ is increasing on $(0,\infty)$ Check the result using a table of values:
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