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 - 12x + 17 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.) 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 answer box within your choice. O A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never decreasing.v" . 1 Find the equation of the tangent line to the curve at the given point. n list I? 4 7 y = 256x at (1.4) ' . m 1 The equation of the tangent line is E. (Type an equation. Type an exact answer.) i )n2 ; Suppose a certain drug is administered to a patient, with the percent of concentration of the drug in the bloodstream t hours later given by the following function, where 0