Sketch a graph of a function f with the following properties. f' > 0 and f"' 0 and f'' > 0, for - 4 0 and f" 0, for x > 7 Choose the correct graph below. O A. O B. O c. OD. X =5 x= - 3 X = - x=7 X = - 4 X x =5 X =7 X X= -40 X X = -4 x= - 3 X = 7 X =7 x= - 4 x =5 X=5 X= - 3Use the graphing guidelines to make a complete graph of f. f(x) =x -4x-+4x . . . Choose the correct graph below. O A. O B. O C. OD. AV + Ay A X X 15Use the graphing guidelines to make a complete graph of f. 2 X f(\"3+6 Choose the correct graph below. OA. Q x Q .e' Use the graphing guidelines to make a complete graph of f. f(x) = - sin x - x on [0,27t] . . . Choose the correct graph below. O A. O B. O C. OD. Ory X Ay X 8-7 + 6- 2 1 N X N 0- XMake a complete graph of the following function on its domain. Use a graphing utility to check your work. f(x)=8xlnx Choose the correct graph below. Use the derivative f'(x) = (x 4)(x +1)(x+ 4) to determine the local maxima and minima of f and the intervals of increase and decrease. Sketch a possible graph off (f is not unique). The local maximum/maxima islare at x = . (Use a comma to separate answers as needed.)