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