The general form of the basic quintic equation f(x) = .
Adjust the sliders a, b, c, d, e, and f to create the quintic equation you wish to explore.
The check boxes are for three points that are selected on the graph. These points will allow the exploration of points on the graph by selecting box A, B, or C. Select the check box with the move arrow to see the coordinate values. Selecting the point will allow your to move the point with the mouse or the keyboard cursor keys. Continued steps will allow the user to also find the inverse curve of this function...the equation of the function may be obtained for some functions.

Can you find the equation for the inverse on your own?
What are the effects of moving sliders a-f?
This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers with a worksheet to be complete for a grade.