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)=x²-50x²+625 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(es) to complete your choice. OA. The function f 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.) OB. 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(es) to complete your choice. OA. The function f 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.) OB. The function is never decreasing. b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type integers or simplified fractions.) OA. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are OB. The function has a local maximum value at one value of x. The maximum value is f() = OC. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f() = f(0) =[ OD. There are no local maxima. and f = ¹ f(0) = - and f