A periodic function is a function that repeats its values in a nonzero period.
The period of a function is a number, the addition of which to the function's argument does not change the value of the function.
You will need
- Knowledge of elementary mathematics and the principles of analysis.
Let's designate the period of the function f (x) in terms of the number K. Our task is to find this value of K. To do this, suppose that the function f (x), using the definition of a periodic function, equals f (x + K) = f (x).
We solve the resulting equation for the unknown K, as if x is a constant. Depending on the value of K, there are several options.
If K & gt-0 - then this is the period of your function.
If K = 0, then the function f (x) is not periodic.
If the solution of the equation f (x + K) = f (x) does not exist for any K not equal to zero, then such a function is said to be aperiodic, and it also does not have a period.