Movable Points and Actions

I know that you can create actions with clicks, but is there a way to create an action based on a movable point?

For example, if I have a point that can move horizontally from x=1 to x=4, at each x value a different function or polygon is displayed.

If I’m understanding what you mean, you don’t really need actions for that. You would use a condition inside curly braces next to each function or set of points for a polygon that correlates to your variable. Here’s an example: Desmos | Graphing Calculator

Just for fun, a little different…