Discovering Inverse Functions

This allows you to visualize the inverse function.
1) Drag A. What happens to the ordered pair? 2) Show B. What do you notice about the relation between B and A? 3) Drag A. What happens to B? Write a hypothesis about the relationship between the domain and range of point A and point B. 4) Right click to turn on tracing for B and begin to drag A. Describe what you are seeing. 5) Show line a. Why is this line important? Would it be important for all functions and their inverses? Justify your reasoning.