please include process. I'm really have trouble on this one

For this week's discussion, you are asked to generate a continuous and differentiable function f (I) with the following properties: . f (I) is decreasing at x = -6 . f () has a local minimum at c = -3 . f (x) has a local maximum at c - 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 (a ), first determine requirements for its derivative f (r) . 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) (1 - 8). . If you have a possible function for f. (a:) 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 () -" 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 r-axis go from -6 to 6