F(x) = Please explain thank you

For this week's discussion, you are asked to generate a continuous and differentiable function f (3:) with the following properties: f (33) is decreasing at a: = 6 . f(c) has a local minimum at a: = 2 0 f(a3) has a local maximum at a: : 2 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: 0 Use calculus! 0 Before specifying a function f (at), first determine requirements for its derivative f, (:13). For example, one of the requirements is that f' (2) = 0. o If you want to find a function 9(33) such that g(9) = 0 and 9(8) 2 0, then you could try 9(33) 2 (a: + 9) (a: 8). o If you have a possible function for f, (:13) , then use the techniques in Indefinite Integrals this Module to try a possible f0?)- 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