Average Rate of Change Calculator

The average rate of change of a function over an interval is the change in f divided by the change in x, which is the slope of the secant line joining the two endpoints. Pick the function from the menu, fill in its coefficients and give the two x-values, and the tool returns f(a), f(b), the subtraction and division written out, the answer and the equation of that secant line. For a polynomial it also solves for the point inside the interval where the tangent runs parallel to the secant, which is what the mean value theorem promises exists. Choosing from a menu rather than typing an expression means every function offered can actually be evaluated.