For this week's discussion, you are asked to generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=6 f(x) has a local minimum at x=2 f(x) has a local maximum at x=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: Use calculus! Before specifying a function f(x) , first determine requirements for its derivative f(x) . For example, one of the requirements is that f(2)=0 . If you want to find a function g(x) such that g(9)=0 and g(8)=0 , then you could try g(x)=(x+9)(x8) . If you have a possible function for f(x) , then use the techniques in Indefinite Integrals this Module to try a possible f(x)