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Definition: The horizontal distance required for the graph of a periodic function to complete one cycle. Formally, a function f is periodic if there exists a number p such that f(x + p) = f(x) for all x. The smallest possible value of p is the period. The reciprocal of period is frequency.
Example: The period of the graph is variable T. Link: http://image.tutorvista.com/cms/images/67/period-function1.JPG