Copy of Periodic Function Action!

The applet below dynamically depicts what it means for a function to be classified as a [color=#9900ff][b]periodic[/b][/color][b] function. [br][br][/b]Interact with the applet below for a few minutes. [br]As you do, be sure to move the 5 points anywhere you'd like. [br]Answer the questions that follow.

1.

What does the term "periodic" mean? What events in life would you classify as predictably "periodic"? Why would you classify these events this way?

2.

The [b][color=#9900ff]length of the purple segment[/color][/b] is said to be the [b][color=#9900ff]period[/color][/b] of the function [i]f[/i]. Suppose the [b][color=#9900ff]period[/color] [/b]of the function above = [b][color=#9900ff]5 units[/color][/b]. Also, suppose [i]f[/i](2) = 8. Given this information, [b]what other input values for function [i]f[/i] would also result in an output of 8?[/b]

3.

Suppose a function [i]f[/i] has [b][color=#9900ff]period [i]c[/i][/color][/b]. How would you describe what it means for a function [i]f[/i] to be periodic in terms of [i]x[/i] and [b][color=#9900ff]c[/color][/b]?

Copy of Periodic Function Action!

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Information: Copy of Periodic Function Action!