Calculus: Early Transcendentals (2nd Edition)

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: 10

Answer

The function could either be always increasing or always decreasing. For instance, on the domain $[a,b]$, if $f$ is always decreasing (i.e. $f(x) = -x$), then the $\textbf{absolute minimum}$ value would be at point $b$.

Work Step by Step

The explanation given is one way that a function can have its $\textbf{absolute minimum}$ at the endpoint of an interval.
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