Download (.gsp file) for GSP5
Download (.gsp file) for GSP4
This construction contains an updated version of the piecewise cubic function I made some time ago. I updated it so that the whole curve is the same object, the plot of one function. The other major addition is a tab that lets you position the eight independent points randomly. You move two corners of a box to give a range for the random points and when you click "New Random Function" the points will randomly position themselves and the curve will snap into place. This may be a good exercise for calculus students exploring the relationships between a function, its derivative, and its antiderivative.