If a function is periodic with period T, what is g(x+T) in terms of g(x)?

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Multiple Choice

If a function is periodic with period T, what is g(x+T) in terms of g(x)?

Explanation:
Periodic behavior means the function repeats its values every T units. So for any x, stepping forward by one period lands you at a point with the same output, giving g(x+T) = g(x). The other forms would alter the value or rely on a different operation, which doesn’t describe the repeating pattern inherent to a period.

Periodic behavior means the function repeats its values every T units. So for any x, stepping forward by one period lands you at a point with the same output, giving g(x+T) = g(x). The other forms would alter the value or rely on a different operation, which doesn’t describe the repeating pattern inherent to a period.

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