9. a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. h(x)x3-2 a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on the open interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing On what open interval(s), if any, is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on the open interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never decreasing. b. Find each local maxima, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) O A. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are h and hC O B. The function has a local maximum at one value of x. The maximum value is h C. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are h and h O D. There are no local maxima. Find each local minima, if any. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) ,h( O A. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are h and = = h C B. The function has a local minimum at one value of x. The minimum value is h O C. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are h and h D. There are no local minima.