6-1 Module Six Discussion. Finding a Function to Match a Current Grade: 0.0 / 1.0 Remaining Time: Unlimited Shape Module Six Discussion For this week's discussion, you are asked to generate a continuous and differentiable function f () with the following properties: . f (x) is decreasing at r = -6 . f (x) has a local minimum at z = -3 . f (x) has a local maximum at r = 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 (), first determine requirements for its derivative f (). For example, one of the requirements is that f (-3) = 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 (), then use the techniques in Indefinite Integrals this Module to try a possible f (I). 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 (a) =" 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) =