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The figure shows an interactive graph of . You can
change the value of in the graph by clicking and dragging
the red dot along the horizontal -axis.
Suppose is a function such that and
.
(a) For what values of in the closed interval
does have a local
maximum?
(b) What is the global minimum value of on the
closed interval ?
Minimum value of
(c) For what values of in the closed interval
does the function
have inflection points?
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Graph of
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