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 212: 9

Answer

since $y"$>0, the curve is concave up for all $x$.

Work Step by Step

when $y$=$x^2-4x+3$, then $y'$=$2x-4$=$2(x-2)$ and $y"$=$2$. The curve rises on $(2,\infty)$ and falls on $(-\infty,2)$.At $x$=$2$ there is a minimum.since $y"$>0, the curve is concave up for all x.
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