1. The problem statement, all variables and given/known data This is a piece wise function of course. f(x) = (x2-4) / (x-2) if x is less than two. ax2 - bx + 1 if x is greater than or equal to 2, or less than three. 4x - a + b if x is greater than or equal to three. 2. Relevant equations 3. The attempt at a solution Alright, I know enough to factor the top of the fist equation and get x+2. That means when x is two, f(x) is four. We can use f(x) in this case because we are making the function continuous. I've gotten as far as plugging in this value in the second equation and getting 4 = a4 - b2 + 1 but I don't know what to do from here, or how to get the values of a and b. I think I subtract one from the right and get 3 = a4 - 2b Now I am definitely stuck.