For this week's discussion, you are asked to generate a continuous and differentiable function f($) with the following properties: 0 f {at} is decreasing at m = 5 o f {at} has a local minimum at a: = 2 o f {at} 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! - Before specifying a function f (at) first determine requirements for its derivative f! (at). For example, one of the requirements is that fr (2} = ID . o If you want to find a function 9(a) such that g(9) = U and 9(8) = 0, then you could try 9(3) = (13+9) (a? 8)- o If you have a possible function for fif (a?) then use the techniques in Indefinite Integrals this Module to try a possible f (at)