For this week's discussion, you are asked to generate a continuous and differentiable function f (m) with the following properties: 0 f (m) is decreasing at :1: = 5 o f(m) has a local minimum at :L' = 3 o f(m) has a local maximum at z = 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! 0 Before specifying a function f (9:), first determine requirements for its derivative f'(:1:). For example, one of the requirements is that f, {3) = 0 . o If you want to find afunction g(m) such that g(9) = 0 and 9(8) = 0, then you could try g(m) = (m + 9) (:1: 8). o If you have a possible function for f f (2:), then use the techniques in Indefinite integrals this Module to try a possible f (at)