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. g(x) = 27x - x D. 3 (:3 The function has a local minimum value at three values of x. In increasing order of xvalue, the minimum values areg( )= ,g( )= ,andg( )= The function has a local minimum value at two values of x. In increasing order of xvalue, the minimum values areg( )= andg( )= There are no local minima. Find each local maximum, if there are any. Select the correct choice below and, if necessary, ll in the answer box(es) to complete your choice. (Type integers or simplified fractions.) A. If n The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values areg( )= andg( )= The function has a local maximum value at one value of x. The maximum value is g( ) = The function has a local maximum value at three values of x. In increasing order of xvalue, the maximum valuesareg( )= ,g( )= ,andg( )= There are no local maxima. If the function has extreme values, which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, ll in the answer box(es) to complete your choice. (Type integers or simplified fractions. Use a comma to separate answers as needed.) " .3' A- The function has an absolute maximum value of at x = and an absolute minimum of at x = " 3' B- The function has an absolute maximum value of at x = , but no absolute minimum. C. The function has no absolute maximum, but there is an absolute minimum value of at x = D. There are local extreme values but there are no absolute extreme values. E. There are no local or absolute extreme values. 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. g(x) = 27x - x3 (:3 a. Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 5:? A- The function is increasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) {:1 B. The function is never increasing. Determine the open interval(s) of x for which 900 decreases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (:3? A- The function is decreasing on the open interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) ii} B. The function is never decreasing. b. Find each local minimum, if there are any. Select the correct choice below and, if necessary, ll in the answer box(es) to complete your choice. (Type integers or simplified fractions.) {3' A- The function has a local minimum value at one value of x. The minimum value is g( ) =