# Fixed-point iteration: mapping between number lines

- Author:
- GeoGebra Institute of MEI

This activity represents fixed-point iteration as mappings between number lines each time the iteration is applied.
The function can be edited, where has been rearranged to give . The value of can be varied by dragging the red point.
The right-hand graph shows the equivalent iteration as a staircase/cobweb diagram on x-y axes.