For this week's discussion, you are asked to generate a continuous and differentiable function f (m) with the following properties: - f (z) is decreasing at :r, = 5 - f (:11) has a local minimum at a; = 3 - f (z) has a local maximum at a: = 3 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 (:12), first determine requirements for its derivative f' (m). For example, one of the requirements is that f, (3) = 0 . If you want to find a function 9(3) such that g(9) = U and 9(8) = 0, then you could try g(:1:) = (:1: + 9) (:1: 8). If you have a possible function for f, (as), then use the techniques in Indefinite Integrals this Module to try a possible 3' (11:)