Graphical Iteration

Below is an example of a graphical iteration. An iteration is the process of evaluating a function repeatedly. The act of iteration is accomplished by using the output from one iteration as the input to the succeeding one. A graphical iteration is a way to visualize this process. This is accomplished by illustrating the sequence on a graph. For example: When we are provided with an initial value X0 and a function “f”, we may develop the following sequence: X0, X1=f(X0), X2= f(x1), X3=f(X2), X4=f(X3), X5= f(X4)….