1. The problem statement, all variables and given/known data Given a set of data points, derive the interpolation polynomial using divided differences. 2. Relevant equations 3. The attempt at a solution My main question is: How am I supposed to do this if they don't give f(x)? Can I just look at the plotted data points and 'guess' the function (cos,sin,tan) that will best fit them? As a test, I tried using f(x)=cosx and graphed the resulting equation but it did not meet at the given points.