11. Determinee intervaIs on which the following function is ncaVe uP O COnCaVe down. 1dentify any inflection points. f(X)= Detemine the coodinates ofe inection point(S). SeIecthe corect choice below andf neSSary,ine answer box to mPIete you choice.? A (SjmpIify you answer. 1ype an ordeed pai. Use a comma to separate answes as needed,) J B. Thee are no inflection points. 0n what interval(S) is f concave up and on what interval(S) is f concave down? ) A. Thefunction fis concave up on (-3,). fis concave down on (- , -3). B, Thefunction fis neveconcave up. fis concave down on (-,. C, Thefunction fis concave up on (- , -3). fis concave down on (-3,). ) D, Thefunction fis concave up on (-,). fis neverconcave down. (E. Thefunction fis neverconcave up. fis concave down on (-,3) and (-3,). (F Thefunction fis concave up on (-, -3) and (3,). fis neveconcave down, 12. Locate the critical points of the fo=owing function- Then use the Second Deivative lSt tO detemine whethe they COreSPOnd to IocamaximaOCai minima, Or neither. f(X)2x3 -9x28 What is(ae the criticai point(S) of f? SeIect the corect choice beow a=df =eCeSSary, fn the answe box to compiete yourchoice. :;) A" The citical point(S) is(ae x (Use a comma to sepaate answes as needed- 1ype an intege or a simped fraction, B, Thee are no citicaI pointsforf. What is/are the IocaI maximum/maxima of f? Select the correct choice beiow and, if necessay,in the answer box to COmPlete your choice. A, The Iocal maximum/maxima off islare at x= (Use a comma to separate answers as needed. Type anteger o a simpIified fraction,) B, Thee is no IocaI maximum off. What is/ae the local minimumIminima of f? Select the correct choice beIow andf necessary,in the answe box to COmPlete you choice. ) A. The local minimum/minima offis/ae atx= (Use a comma to sepaate answes as needed- Type an intege o a simped faction.) B, There isnoIocal minimum off, 13. Locate the cOlntS Of g(X)The...Se the Second De`VatIVe -etem-ne (lf poss-bIe) whethe they COreSPOnd to iocal maxima o IocaI minima. Locate the ccai point(S). X= (Type exact answes, uSing radicals as needed, Use a comma to sepaate answers as needed. Which citicapoints are locaI maxima according to the Second Derivative bst? SeIect the correct choice below andin any answer boxes within you choice. )A. x (ype exact answers, uSing radicaIs as needed. Use a comma to separate answers as needed.) B. The Second Deivative lst does not show that any citicai point is a local maximum. Which critical points are locaI minima accoding to the Second Derivative lSt? SeIect the corect choice beiow andin any answe boxes within your choice. A. x= (ype exact answers, uSing adicaIs as needed. Use a comma to sepaate answers as needed. :l B. The Second Derivative Test does not show that any citicai point is a Iocal minimum