Suppose an even function f has a local minimum at x=c. Does f have a local maximum or minimum at x=-c
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Suppose an even function f has a local minimum at x=c. Does f have a local maximum or minimum at x=-c

[From: ] [author: ] [Date: 12-11-12] [Hit: ]
then x = -c would have one too.Absolutely not.......
And the same for an odd function?

Help please! I am so confused.

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Definition of even function:

f(x) = f(-x)

Yes, if an even function has local min at x = c, then x = -c would have one too.

Definition of odd funciton

f(-x) = -f(x)

Absolutely not.
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