Answer Happy

Determine all critical points for the function. 3x² x+7 f(x) = OA. x= -14 and x = 0 OB. x= 0 and x = -7 OC. x=7 OD. x= -7

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 Tox)-x-10x81. ABD a. On what open interval(s), if any, is the function increasing? Select the correct choice below and, if necessary, M in the answer box(es) to complete your choice OA. The function is 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 fit in the answer box(es) to complete your choice OA The function fis decreasing on the open interval() (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 decreasing b. Find each local maximum. If there are any Select the conect choice below and if necessary, fill in the answer boxies) to complete your choice (Type integers or simplified factions) OA The function has a local maximum value at tive values of x in increasing order of x-value, the maximum values are