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Determine where the local and absolute maxima and minima occur on the following graph of f(z) on the interval [4, 6]. (click on graph to

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Determine where the local and absolute maxima and minima occur on the following graph of f(z) on the interval [4, 6]. (click on graph to enlarge) (Use a comma to separate answers. Enter NONE if the extrema does not exist.) a. Local minimum at .1: = 9" help (numbers) b. Local maximum at :c = 1" help (numbers) c. Absolute minimum at z : p: help (numbers) d. Absolute maximum at z = 3' help (numbers) The function m) : 2m3 7 30.7:2 + 543 i 7 has two critical numbers. The smaller one equals 9' and the larger one equals f \fIs it possible to have no absolute minimum or maximum for a function? OYes ONo If so, construct such a function and write the function in the box below. If not, explain why it is not possible in the answer box below

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