Sketch the graph of a function f that has all of the properties listed. The graph need not be given by an algebraic formula. (a) Continuous and differentiable for all real numbers (b) Increasing on...

Extracted text: Sketch the graph of a function f that has all of the properties listed. The graph need not be given by an algebraic formula. (a) Continuous and differentiable for all real numbers (b) Increasing on (-o, - 4) and (-2,2) (c) Decreasing on (-4,- 2) and (2,00) (d) Concave downward on (- 0o,-3) and (0,00) (e) Concave upward on (-3,0) (f) f'(- 4) = f'(2) = 0 (g) Inflection points at (-3,2) and (0,4) Choose the correct graph below. O.B. Oc. O D. OA. Ay Ay 16 16 -8 -8 -8 16 -8 16