For the function shown in the graph, l'st the intervals on which the function is increasing. the intervals on which it is decreasing, and the location of all local extrema. List the open intervalts} on which the function is increasing. Select the correct choice below and, it necessary, ll in the answer box to complete your choice. O A- The function is increasing on the lnterval[s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never increasing. List the open intervalts} on which the function is decreasing. Select the correct choice below and, it necessary, ll in the answer box to complete your choice. O A- The function is decreasing on the intervalis} E. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. The function is never decreasing. Identify any local extrema. Select the correct answer below and. if necessary. ll in anyr answer boxies} within your choice. 0 A. There is no local minimum, and the local maximuml'maxlma occur[s) at x = D. (Use a comma to separate answers as needed.) 0 B. There is no local maximum, and the local mlnlmuml'minima occurs) atx=|:|. (Use a comma to separate answers as needed.) 0 C- There isfare local maximumtmaxlma X: D and there isJ'are local ll Find all critical numbers of the function f(x} = (x 6}5. Then use the second-derivative test on each cnlical number to determine whether it leads to a local maximum or minimum. Select the correct choice below and. if necessary, ll in the answer hordes) to complete your choice. O A- The critical number(s) istare atx= . There is a local maximum at x: D. There is no local minimum. (Type integers or simplied fractions. Use a comma to separate answers as needed.) O B- The critical number(s) isJ'are atx= . There is no local maximum and no local minimum. (Type an integer or a simplied fraction. Use a comma to separate answers as needed.) O C- The critical number(s) istare at x: . There is no local maximum. There is a local minimum at x: E. (Type integers or simplied fractions. Use a comma to separate answers as needed.) O D- The critical number(s) istare atx= . There is a local maximum at): = . There is a local minimum at): = (Type integers or simplied fractions. Use a comma to separate answers as needed.) O E. There are no critical numbers