For this week's discussion, you are asked to generate a continuous and differentiable function f (z) with the following properties: . f (m) is decreasing at z = 5 0 f(m] has a local minimum at z = 2 . f (2] has a local maximum at z = 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspaoe be sure to list the criteria for your function. Hints: . Use calculus! Before specifying a function f (as), first determine requirements for its derivative ff (:3). For example, one of the requirements is that f\". (2) = 0 . . If you want to find afunctiong(z) such thatg(9) = U and 9(8) = I], then you could try 9(2) = (m + 9] (:3 8). . If you have a possible function for f' (2]. then use the techniques in Indefinite Integrals this Module to try a possible f (as) 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. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the z-axis go from -6 to 6. NE) =