Graphs of Cubic Polynomials

Click on the applet to begin.
Slide the values of the three zeros 'a','b' and 'c' to see how they change the graph.
Change the multiplicities of each factor. Notice how the graph changes for x-values near the values of 'a', 'b' and 'c'.
Consider the end behavior of each graph.

If you right click on the worksheet you can zoom in or out. Zoom out to verify the end behavior of the graph.

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John Maharry, 1/19/2007, Created with GeoGebra