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This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
Introduces students to the vertical line test for graphs of functions.

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