Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.4 - Concavity and Curve Sketching - Exercises 4.4 - Page 215: 107

Answer

No inflection point.

Work Step by Step

Step 1. Take the derivatives of the function to get $y'=2ax+b$ and $y''=2a, a\ne0$ Step 2. If $a\gt0$, the function will be concave up, while if $a\lt0$, the function will be concave down. Step 3. The quadratic function does not have an inflection point where the concavity can change across the point.
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