Please help solve and provide an explanation.

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 atr = -5 . f (I) has a local minimum at z = -3 . f (x) has a local maximum at z = 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(I). For example, one of the requirements is that f (-3) = 0. . If you want to find a function g (I) 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 (I), 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 (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 r-axis go from -6 to 6. f (I) = How Did I Do? Try Another