Tutorial to explore and understand what is a periodic
function. Before you start the tutorial, let us review the definition of a periodic function.
A function f is periodic with period P if
f(x) = f(x + P) , P is a real number.
The graph of a periodic function repeats itself indefinitely. If f is known over one period, it is known everywhere since the graph repeats itself.
1 - click on the button above "click here to start" and MAXIMIZE the window obtained.
2 - Use the top slider (Change shape) to change the shape of the graph of function f.
3 - Use the middle slider (Change period) to change the period of function f.
4 - Use the bottom slider( shift ), start from the left when P = 0 and change P slowly shifting the graph of f. When the graph of f in blue ( f(x) ) and the graph in red ( f(x + P) ) are identical ( superimposed ), the value of P displayed (as a multiple of Pi) is an approximation to the period of the graph of f.
5 - Change the shape and period and repeat the above exploration.
Interactive HTML5 Math Web Apps for Mobile LearningNew !
Free Online Graph Plotter for All Devices
Home Page --
HTML5 Math Applets for Mobile Learning --
Math Formulas for Mobile Learning --
Algebra Questions -- Math Worksheets
Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests
Precalculus Tutorials --
Precalculus Questions and Problems
Precalculus Applets --
Equations, Systems and Inequalities
Online Calculators --
Geometry Tutorials --
Geometry Calculators --
Calculus Tutorials --
Calculus Questions --
Applied Math --
Math Software --
High School Math --
Middle School Math --
Math Videos From Analyzemath
Updated: 2 April 2013
Copyright © 2003 - 2014 - All rights reserved