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5) Sketch a possible function that satisfies the following criteria. Show work by explaining what each piece of given information means to the graph of

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5) Sketch a possible function that satisfies the following criteria. Show work by explaining what each piece of given information means to the graph of the function [7 MARKS] (x) >0 for x (-0,2) and x e (2,5) S(x) 0 for x = (2,4) and X E (7,0) Answer each of the following about this function. (a) Determine the open intervals on which the function increases and decreases. (b) Identify the x-values at the critical points of the function. (c) Classify the critical points as relative maximums, relative minimums or neither. Explain how you made the decision. (d) Determine the x-values at the inflection points. . (e) Sketch the graph of the function described

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