Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.6 Concavity - Exercises and Problems for Section 2.6 - Exercises and Problems - Page 107: 13


(a) $x \in (-\infty,0)$ (b) Nowhere ($\varnothing$) (c) $x \in (0,\infty)$ (d) Nowhere ($\varnothing$)

Work Step by Step

The function is always increasing for all $x$, so (b) and (d) are both "for no x". The rate of change is becoming more positive when x is positive, so that region is concave up. The rate of change is becoming less positive when x is negative, so that region must be concave up.
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