A periodic function is a mathematical function that repeats its values at regular intervals. In other words, it has a pattern that repeats itself over and over again.
An example of a periodic function is the sine function, which repeats itself every 2π radians (or 360 degrees).
To solve a periodic function problem, you need to first determine the period of the function. This can be done by finding the distance between two consecutive peaks or troughs. Once the period is known, you can use this information to find the values of the function at any point in the interval.
The main difference between a periodic and a non-periodic function is that a periodic function has a repeating pattern, while a non-periodic function does not. This means that a non-periodic function does not have a specific period and its values do not repeat at regular intervals.
Yes, a periodic function can have more than one period. In fact, any function that has a repeating pattern can be considered periodic, regardless of the number of periods it has. However, the smallest period is typically considered the primary period of the function.