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Wolfram Education Portal » Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. Wolfram Language » Knowledge-based programming for everyone. The graph of each of the below periodic functions has translational symmetry. The period of a function helps us to know the interval, after which the range of the periodic function repeats itself. The domain of a periodic function f x includes of the real number values of x, the range of a periodic function is a limited set of values within an interval.
The length of this repeating interval, or the interval after which the range of the function repeats itself, is called the period of the periodic function. The following properties are helpful for a deeper understanding of the concepts of a periodic function. Jaccobi Elliptic Functions: The graph of these functions is elliptical in shape, rather than a circle, which is often seen for trigonometric functions.
These elliptical shapes arise because of the involvement of two variables together, such as the amplitude and speed of a moving body, or the temperature and viscosity of the substance. These functions are commonly used in the description of the motion of a pendulum.
Fourier Series: The Fourier series is a superposition of various periodic wave function series to form a complex periodic function. Learn more. How to make a function periodic? Ask Question. Asked 6 years ago. Active 9 months ago. Viewed 1k times. This was just a fun experiment I did to see if I actually could approximate a trigonometric function. Add a comment. Active Oldest Votes. Do you understand? Are you ready to dig deeper? Show Solution Check. Related Lessons. Inversely Proportional Functions, in Depth.
Graphs of Even and Odd Functions. Directly Proportional Functions, in Depth. View All Related Lessons. Amy Feraco. Now, we will discuss an example of a periodic function.
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