For this week's discussion, you are asked to generate a continuous and differentiable function f(:c) with the following properties: - f(m) is decreasing at m = 5 . f(m) has a local minimum at :r: = 3 o f(m) 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: 0 Use calculus! 0 Before specifying a function f (1:), first determine requirements for its derivative f, (m). For example, one of the requirements is that f, (3) = 0 . . If you want to nd a function 9(a)) such that g(9) = 0 and 9(8) = 0, then you could try g(:c) = (:3 +9) (:6 8). - If you have a possible function for f, (:c), then use the techniques in Indefinite Integrals this Module to try a possible f (1:). 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 (m) =" is already provided for you