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For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it

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For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f ( x ) = 2x3 - 3x2 - 72x + 6 . . . a) Find the critical number(s). Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There are no critical numbers. b) List any interval(s) on which the function is increasing. Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The function is increasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never increasing. c) List any interval(s) on which the function is decreasing. Select the correct answer below and, if necessary, fill in the

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