For this week's discussion, you are asked to generate a continuous and differentiable function f (a) with the following properties: . f (x) is decreasing at x = -5 . f () has a local minimum at c = -2 . f (a) has a local maximum at z = 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function. Hints: . Use calculus! . Before specifying a function f (x), first determine requirements for its derivative f (x). 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 (x) = (x +9) (1 - 8). . If you have a possible function for f (a ), then use the techniques in Indefinite Integrals this Module to try a possible f (x)