How would I find what f(x) =

For this week's discussion, you are asked to generate a continuous and differentiable function f (z ) with the following properties: . f (a) is decreasing at a = -5 f ( ) has a local minimum at a . 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 (z). For example, one of the requirements is that f'(-3) - 0. . If you want to find a function g (z) such that g (-9) - 0 and g (8) - 0, then you could try g (z) - (r + 9) (z - 8) . If you have a possible function for f (: ), then use the techniques in Indefinite Integrals this Module to try a possible f (z) 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 z-axis go from -6 to 6. f (I) How Did I Do? Try Another