Polynomial characteristics

Use the sliders to investigate the graphs for polynomials of degrees 1-5. Start on the right. Then move to the left one letter at a time. In this way you can go from linear all the way up to quintic. Try to determine which coefficient controls the end behavior of the graph what it does as x gets very large or very small). Next, determine the effect on the graph of changing coefficient ' f '. Finally, notice the nubmer of turns possible in the graph for polynomials of each degree.