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 Multi-Function Data Flyer (Activity) Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Functional Graphs (Lesson) Students will graph input/output pairs from a simple linear function in order to gain an understanding of basic linear functions. This worksheet is for use with the Functional Graphs lesson plan (http://www.shodor.org/interactivate/lessons/FunctionalGraphs/). This worksheet is for use with the Functional Graphs lesson plan (http://www.shodor.org/interactivate/lessons/FunctionalGraphs/). Function Flyer (Activity) A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers. This worksheet is for use with the Multi Function Data Flyer activity (http://www.shodor.org/interactivate/activities/MultiFunctionDataFly/). Functions and the Vertical Line Test (Discussion) Shows students why a function must pass the vertical line test to be a function. This worksheet is for use with the Multi Function Data Flyer activity (http://www.shodor.org/interactivate/activities/MultiFunctionDataFly/). Introduces the basic ideas needed for understanding linear functions. Two Variable Function Pump (Activity) 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.  