Calculus (3rd Edition)

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

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Preliminary Questions - Page 17: 5

Answer

-4

Work Step by Step

The value of $(x+3)^{2}$ can be 0 (when x= -3) or positive. 0 is the smallest possible value of $(x+3)^{2}$. The minimum value of f(x) is attained when the value of $(x+3)^{2}$ is minimum, that is, 0. In that case, f(x)= 0-4=-4.
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