What Makes a Function Odd?

This app illustrates what it means for a function to be ODD. Interact with this app for a few minutes. As you do, be sure to move the points around.
Based solely upon your observations (and without looking it up on another tab in your web browser), describe what it means for a function to be classified as an [color=#666666][b]ODD FUNCTION[/b][/color].
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Information: What Makes a Function Odd?