a. Find the open intervals on which the function is increasing and those on which it is deoreasing,b. Identify the function's local excreme values, if any, saing where they occur|(r)||=7r311ra. On what open interval(s). it any, is the fanction inoreasing? Select the consct choice below and, if necessary, fill in the arswer box to complete your choice.A. The function f is increasing on the open interval(s)(Type your answer in interval notation. Use integers or lractions for any nurbers in the evprestion. Une a comma io separiste thtwort in neodod.)B. The function is never inoreasing.On what open inferval(s). I any, is the function decreaning? Select the comect choce below and, if neonsank fil in the arvoer box to complete your choice.A. The function f is decreasing on the open interval(a)(Type your antwer in interval notation. Use integens or lhactons for any numberi in The evoresson Uhe a cornma io tectrme thrwet 18 neodoct 1a. Find the open intervals on which the function is increasing and hove on which it is decreasing.b. Identify the fanction's local extreme values, if any, saying where they ocour4(r)=7r3+11rB. The function is feveer increasing.On what open inferval(s), it any, is the function decreasing? Select the cornet chove below and, if neckessark, til in the answer bor to complete your cholice.A. The function f is decreasing on the open irtervali(s)(Type your answer in interval notation. Use integers or lractons lor any numben in the expression Une a comma io sepernte answers as reeded)8. The finclion is never deoreaping cheice.(Type integers or simglifed fractons.)a. Find the open intervals on which the turtion is increasing and those on which it is decreasingb. Identify the function's local extreme values, if any, saying where they ocour.A(r)=7r3+14rb. Find each local maximum, if any. Select the coerect choice below and, if necosisary, fill in lie answer bowes to complete your choice.(Type integers or simplifed fractions.)A. The function has a local maximum value at one value of f. The maximum value is ?-B. The function has a local maximum walue at three values of t in increasing order of e-raite the maximum values are 11= f -, and f ***C. The function has s local maximum value at heo values of 2 in increasing order of rualue. the max mum values ave* and I||*D. There are no local maxima.Find rach tocat minimum, if any Setect the correct choice below and. I necessary, iti in the anwwer boses lo comytete pour chowea. Find the open intervals on which the function is increming and those on which it is decrising.b. Iderely the function's local extreme valus, if any seyth where they cocur4(r)=7r3+11rD. There are no local maxima.Find each locat minimum, it any febet the cornect choce below and, if necessary, ilif in the answer boses to complebe your cholice.(Type integers or simplifed fractions.)A. The function has a local minimum value at one value off t The minimum value is if -B. The function has a local minimum value al thee wal aes of ic, in increasing order of r value. the minimum values are f) f -, and I **11= and I D. There are no local minima