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Periodic Functions
Periodic functions are functions that behave in a cyclic (repetitive) manner over a specified interval (called a period). The graph repeats itself over and over as it is traced from left to right. In other words, the entire graph can be formed from copies of a particular portion, repeated at regular intervals indefinitely. If is known over one period then it is known everywhere.
More formally, a function is periodic if there exists a real number such that for all .