Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.2 Activities - Page 19: 4

Answer

The function is increasing on the inerval $[-\infty;b]$ and decreasing on the interval of $[b;\infty]$. The function is concave up on the interval of $[-\infty;c]$ The function is concave up on the interval of $[c;\infty]$

Work Step by Step

The function is increasing on the inerval $[-\infty;b]$ and decreasing on the interval of $[b;\infty]$. The function is concave up on the interval of $[-\infty;c]$, as the graph forms an upside-down letter 'U', which is exactly the form of a concave up function. The function is concave up on the interval of $[c;\infty]$, as the graph forms a letter 'U', which is exactly the form of a concave down function.
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