# Periodic Functions

 Tutorial to explore and understand what is a periodicfunction. 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. Interactive Tutorial Your browser is completely ignoring the tag! 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. More on functions