Answer
$y = g(x)$ has no absolute maximum, but has an absolute minimum at $x = a$ .
Work Step by Step
It follows after checking the values of function at critical points and end points.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 4 - Applications of the Derivative - 4.1 Maxima and Minima - 4.1 Exercises - Page 242: 13
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