Even and odd functions a. Suppose a nonconstant even

Chapter 4, Problem 81

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Even and odd functions a. Suppose a nonconstant even function f has a local minimum at c. Does f have a local maximum or minimum at -c? Explain. (An even function satisfies f 1-x2 = f 1x2.) b. Suppose a nonconstant odd function f has a local minimum at c. Does f have a local maximum or minimum at -c? Explain. (An odd function satisfies f 1-x2 = -f 1x2.)

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