Question: 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

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(-x) = f(x).)

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(-x) = -f(x)

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