a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. f(x)=x¹/3 (x²- Find each local minimum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Simplify your answers. Type exact answers, using radicals as needed.) OA. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f and fl B. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f(1) = f(1) = O C. The function has a local minimum value at one value of x. The minimum value is f D. There are no local minima. at x = at x = = If the function has extreme values, which of the extreme values, if any, are absolute? Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate answers as needed.) but no absolute minimum. O A. There is an absolute maximum of OB. There is an absolute maximum of and an absolute minimum of OC. There is no absolute maximum, but there is an absolute minimum of at x = O D. There are local extreme values but there are no absolute extreme values. O E. There are no local or absolute extreme values. at x = and f(0) = [