Investigate the relationship between the secant line (green) and tangent line (pink) as the value of h approaches 0.

1. Write an expression to represent the horizontal distance between points P and Q.[br]2. Write an expression to represent the vertical distance between points P and Q.[br]3. Write an expression to represent the slope of the secant line passing through points P and Q.[br]4. As h approaches zero, what do you notice about the slope of the secant line (in comparison to the tangent line)?[br]5. Change the input function f(x). Does the same apply?[br]6. Write a limit statement showing what you've learned.