Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 195: 12

Answer

a) nowhere b) $\left( -4,2 \right)$. c) $\left( -\infty ,-4 \right)\cup \left( 2,\infty \right)$.

Work Step by Step

(a) The function is said to be increasing in an interval when the value of y increases as the value of x increases. Hence, the given function is increasing nowhere. (b) The function is said to be decreasing in an interval when the value of y decreases as the value of x increases. Hence, the given function is decreasing on the interval $\left( -4,2 \right)$. (c) The function is said to be constant in an interval when the value of y remains same as the value of x increases. Hence, the given function is constant on the interval $\left( -\infty ,-4 \right)\cup \left( 2,\infty \right)$.
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