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For this week's discussion, you are asked to generate a continuous and differentiable function f (a ) with the following properties: . f () is decreasing at r = -5 . f (x) has a local minimum at c = -2 . f (x) has a local maximum at x = 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! . Before specifying a function f (a), first determine requirements for its derivative f (x). For example, one of the requirements is that f (-2) = 0 . If you want to find a function g (a) such that g (-9) = 0 and g (8) = 0, then you could try g (x) = (x + 9) (x -8). . If you have a possible function for f (x), then use the techniques in Indefinite Integrals this Module to try a possible f (x). 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 (x) =" 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 x-axis go from -6 to 6. f (I) = P