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Iterating Linear Functions

Henri Picciotto

Use the sliders to choose m, b, and the seed
For what values of m and b do the values approach a finite limit?
For a given m and b, what values of the seed are fixed?
What happens when m = 1? When b = 0?

You can enter values for m or b in the input bar. For example, type m = 0.25

Download the GeoGebra file.

See another representation of iterating linear functions.

Other representations of iterating linear functions:: with linked function diagrams; with a 'cobweb' graph

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