For this week's discussion, you are asked to generate a continuous and differentiable function f (m) with the following properties: . f(:r:) is decreasing at :3 = 5 . f(m) has a local minimum at m = 2 - f (:13) has a local maximum at a: = 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! c Before specifying a function f(m), first determine requirements for its derivative f' (m). For example, one of the requirements is that f, (2) = 0 . . If you want to find a function 9(1) such that g(9) = 0 and 9(8) = 0, then you could try g(a:) = (a: -l- 9) (a: 8). . If you have a possible function for f, (2:), then use the techniques in Indefinite Integrals this Module to try a possible f (9:). You can generate a plot of your function by clicking the plotting option (the page option with a \"P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label " f (z) =\" is already provided for you. Once you are ready to check your function, click \"How Did I Do?\" below (unlimited attempts). Please note that the bounds on the m-axis go from -6 to 6. x) =