Please help solve and explain

For this week's discussion, you are asked to generate a continuous and differentiable function f (:3) with the following properties: - f (m) is decreasing at: = ~6 - f(a:) has a local minimum at m = *3 - f (2:) has a local maximum at m = 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 (m), first determine requirements for its derivative 1" (m). For example, one of the requirements is that f I ('3) = 0 . - If you want to find a function 9(3) such that g (~9) = 0 and 9(8) = 0, then you could try 9' (z) = (a: + 9) (x _ 8). - If you have a possible function for f, (m), then use the techniques in Indefinite Integrals this Module to try a possible 3' (m). 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 (m) =" 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 m-axis go from -6 to 6. m): l:m