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Please view attached image. Thanks! 5. [-/0.7 Points] DETAILS LARCALCET7 4.3.046. 0/3 Submissions Used Consider the following function. f (x) = (x - 7)ex (a)

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5. [-/0.7 Points] DETAILS LARCALCET7 4.3.046. 0/3 Submissions Used Consider the following function. f (x) = (x - 7)ex (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (6, - 26) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative maximum (x, y) = DNE relative minimum (x, y) = (6, - 26)

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