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) = 8x In x . . . a. On what open interval(s), if any, is the function increasing? Select the correct choice below and fill in any answer boxes within your choice. O A. The function f is increasing on the open interval(s) (Type your answer in interval notation. Type exact answers. Use a comma to separate answers as needed.) O B. The function is never increasing. On what open interval(s), if any, is the function decreasing? Select the correct choice below and fill in any answer boxes within your choice. O A. The function f is decreasing on the open interval(s) (Type your answer in interval notation. Type exact answers. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. Find each local maximum, if there are any. (Type exact answers.) O A. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f( ) = and f ( ) =.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) = 8x In x O B. The function has a local maximum value at one value of x. The maximum value is f( ) = O C. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f ( ) = , f( ) =, and f ( ) = D. There are no local maxima. Find each local minimum, if there are any. (Type exact answers.) O A. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum value are f ( ) = , f ( ) = , and f ( ) = O B. The function has a local minimum value at one value of x. The minimum value is f( O C. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f ( ) =and f ( ) = O D. There are no local minima. 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.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) = 8x In x . . . O A. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f ( ) = , f ( ) =, and f( )= O B. The function has a local minimum value at one value of x. The minimum value is f( ) =. O C. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f ( ) = and f( ) = O D. There are no local minima. 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. (Type exact answers. Use a comma to separate answers as needed.) O A. There is no absolute maximum, but there is an absolute minimum of at X = O B. There is an absolute maximum of at X = and an absolute minimum of at x = O C. There is an absolute maximum of at X = , but no absolute minimum. O D. There are local extreme values but there are no absolute extreme values. O E. There are no local or absolute extreme values