Discrete Function Composition

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This Demonstration lets you explore finite function composition by varying the values of two functions whose domain and range are each {0, 1, 2, 3}, a common precalculus exercise. The connect option is provided as a graphing aid—the lines should not be considered part of the function.
Contributed by: Gerry Bilodeau (March 2011)
Open content licensed under CC BY-NC-SA
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"Discrete Function Composition"
http://demonstrations.wolfram.com/DiscreteFunctionComposition/
Wolfram Demonstrations Project
Published: March 7 2011