9. The table shows the behavior of a function f that is continuous on the entire...

  

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9. The table shows the behavior of a function f that is continuous on the entire real number line, with f(2)=4 and lim f(x) = 0. f'(x) f"(x) x < 4 f'(x) > 0 f"(x) < 0 x = 4 Undefined Undefined x > 4 f'(x) < 0 f"(x) > 0 (a) For what values of x is f increasing? Justify your answer. (b) Does f have a relative maximum at x 4? Explain. (c) If possible, find the x-coordinate of each inflection point of the graph of f. Justify your answer. (d) Does the Mean Value Theorem apply over the interval [3, 5]? Justify your answer. (e) Sketch a possible graph of f. 10. Co 9. The table shows the behavior of a function f that is continuous on the entire real number line, with f(2)=4 and lim f(x) = 0. f'(x) f"(x) x < 4 f'(x) > 0 f"(x) < 0 x = 4 Undefined Undefined x > 4 f'(x) < 0 f"(x) > 0 (a) For what values of x is f increasing? Justify your answer. (b) Does f have a relative maximum at x 4? Explain. (c) If possible, find the x-coordinate of each inflection point of the graph of f. Justify your answer. (d) Does the Mean Value Theorem apply over the interval [3, 5]? Justify your answer. (e) Sketch a possible graph of f. 10. Co