Cycle Practice (Cobweb Plot)

Cycle Practice: match the pattern by choosing the correct starting point. Red represents the left half of the interval [0,1] while blue represents the right half. The final point (displayed as an open circle) must return to the starting point x_0. Enter a new value for x0 (and hit "Enter") to start your attempt at pattern matching. Provided your choice is on track at each stage the button "Step" should be used to iterate the function, that is, to generate the next step of the cobweb plot.
This GeoGebra applet is based on the Java applet of the same name by Bob Devaney (Boston University).