Enter two linear functions into Y1 and Y2 on your calculator. Enter the compositions of the functions as Y3 = Y1 (Y2(x)) and Y4 = Y2(Y1(x)). Graph Y3 and Y4 and look for any relationships between them. (It will help if you turn off the graphs of Y1 and Y2.) Make a conjecture about how the compositions of any two linear functions are related. Change the linear functions in Y1 and Y2 to test your conjecture. Can you algebraically prove your conjecture?