For this week's discussion, you are asked to generate a continuous and differentiable function f (x) with the following properties: f (x) is decreasing at x = -6 f(x) has a local minimum at x = -3 f(x) has a local maximum at x = 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! Before specifying a function f(x), first determine requirements for its derivative f'(x). For example, one of the requirements is that f' (-3)= 0. If you want to find a function g(x) 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(x)= How Did I Do? Try Another