For this week's discussion, you are asked to generate a continuous and differentiable function f (a ) with the following properties: . f (a) is decreasing at x = -5 . f (a) has a local minimum at a = -2 . f (a) has a local maximum at a = 2Hints: . Use calculus! . Before specifying a function f (a) , first determine requirements for its derivative f (a). For example, one of the requirements is that f (-2) = 0. . If you want to find a function g (a) such that g (-9) = 0 and g (8) = 0, then you could try g (2) = (2+ 9) (2 -8). . If you have a possible function for f (a), then use the techniques in Indefinite Integrals this Module to try a possible f (a)