Explain why or why not Determine whether the

Chapter 4, Problem 55

(choose chapter or problem)

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The function f 1x2 = 1x has a local maximum on the interval 30, _2. b. If a function has an absolute maximum on a closed interval, then the function must be continuous on that interval. c. A function f has the property that f _122 = 0. Therefore, f has a local extreme value at x = 2. d. Absolute extreme values of a function on a closed interval always occur at a critical point or an endpoint of the interval.

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