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Yes. As long as there is only 1 value for each argument, it is a function. For example, the range of the sine function (y = sin x), for real values of x, consists of all the real numbers from -1 to 1 inclusive, and this range repeats infinitely many times. But for each value of x, there is only 1 value of sin x.

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Q: Is it a function if the range is repeated?
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