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How to find the period of the function

How to find the period of the function

Periodic function is a function that repeats its values ​​after some non-zero period.

The period is the number of features, with the addition of which to the argument of the function value of the function is not changed.

You will need

  • Knowledge of elementary mathematics and data analysis.



Let functions between f (x) by the number of K. Our goal is to find the value of K. For this we assume that the function f (x), using the definition of a periodic function, equate f (x + K) = f (x).


We solve the resulting equation for the K unknown, as if x - constant. Depending on the value of K will turn a few options.


If K & gt-0 - then this is the period of your function.

If K = 0 - the function f (x) is not periodic.

If the solution of the equation f (x + K) = f (x) does not exist for any K is not equal to zero, then this function is called aperiodic and she too is not a period.

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