10. 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. fx) =x - Bx + 16 a. On what open intervals), if any, is the function increasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function fis 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. O A. The function fis 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 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.) O A. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f ) = and f( OB. The function has a local maximum value at one value of x. The maximum value is c. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f( and D. There are no local maxima, 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. (Type integers or simplified fractions.) O A. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are t and OB. The function has a local minimum value at one value of x. The minimum value is OC. The function has a local minimum value at three values of x, In increasing order of x-value, D. There are no ocal minima. If the function has extreme values, which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type integers or simplified fractions. Use a comma to separate answers as needed.) O A. The function has no absolute maximum, but there is an absolute minimum value of at x O B. The function has an absolute maximum value of at x and an absolute minimum of C. The function has an absolute maximum value of but no absolute minimum. D. There are local extreme values but there are no absolute extreme values, E. There are no local or absolute extreme values.