Generate a continuous and differentiable function with the following properties:

. f (x ) is decreasing at x = -6 . f (a) has a local minimum at x = -3 . f (a) has a local maximum at a = 3Hints: - Use calculus! - Before specifying a function f (as), first determine requirements for its derivative f' (as). For example, one of the requirements is that f' (3) = 0. 0 If you want to find a function 9(37) such that g(9) = O and 9(8) = 0, then you could try g(a;') = (a: + 9) (a: 8). o If you have a possible function for f I (a?) , then use the techniques in Indefinite Integrals this Module to try a possible f(-