Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 4 - Applications of the Derivative - 4.4 The Shape of a Graph - Exercises - Page 194: 3

Answer

$ f $ is concave up everywhere.

Work Step by Step

$ f(x)=x^{2}-4x+3$ $ f'(x)= 2x-4$ $ f''(x)=2$ $ f'' \gt 0$ Since the second derivative is positive, we see that the graph is concave up everywhere.
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