1. The problem statement, all variables and given/known data Suppose f(x)=ax^3+bx^2+cx+d has stationary points at (1,3) and (3,-3). Find the constants, a, b, c, d and sketch the graph of f(x). 2. Relevant equations 3. The attempt at a solution No idea where to start with this one. I know I have to eliminate 3 of the variables first and then use the found variable to solve for the rest, and that this involves using the stationary points and possibly the derivative of f(x), but I am not sure how to go about using all of these parts. If any one could be of assistance here it would be greatly appreciated, thanks in advance.