Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - Review - True-False Quiz - Page 285: 10



Work Step by Step

For $x$: $f(x)\lt 0$: the function is below x-axis. $f'(x)\lt 0$: the function is always decreasing. $f''(x)\gt 0$: function is always concave up. This is impossible because a function cannot be negative, decreasing and concave up for all $x$ while not having its left end go up above the $x-axis$ toward $\infty$. Function does not exist. Hence, the given statement is false.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.