Answer
$$
False
$$
Work Step by Step
False, because you don't know if the first derivative is zero at $ x = 1$, which is necessary for $ f $ to get a relative minimum at $ x = 1 $.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 3 - The Derivative In Graphing And Applications - 3.2 Analysis Of Functions II: Relative Extrema; Graphing Polynomials - Exercises Set 3.2 - Page 205: 17
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