a. Find the open intervals on 'which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, it any, saying where they occur. X3 rm = 6x2 +3 a. On what open intervals is f increasing? Select the correct choice below and, if necessary. fill in the answer box within your choice. (:3 A- The function i' is increasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) (:3 B. The function i' is not increasing anywhere. On what open intervals is h decreasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. (:3 A- The function f is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) (:3 B. The function f is not decreasing anywhere. b. At what points, if any, does f assume local maximum values? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function has (a) local maximum/maxima at the point(s) (Type an ordered pair. Use comma to separate answers as needed.) O B. There is no local maximum.At what points, if any, does h assume local minimum values? Select the correct choice below and, if necessary, fill in the answer box within your choice. [:3 A- The function has (a) local minimum/minima at the point(s) (Type an ordered pair. Use comma to separate answers as needed.) (:3 B. There is no local minimum. At what point(s), if any, does f assume an absolute maximum value? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A- The function has (an) absolute maximumlmaxima at the point(s) (Type an ordered pair. Use comma to separate answers as needed.) C) B. There is no absolute maximum. At what point(s), if any, does f assume an absolute minimum value? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function has (an) absolute minimum/minima at the point(s) (Type an ordered pair. Use comma to separate answers as needed.) O B. There is no absolute minimum