
To represent the dynamics of this process, we label the
xaxis x_{n} and the yaxis x_{n+1}. 
That is, if the xcoordinate
of a point is one of the x_{n}, then the ycoordinate is x_{n+1},
the next value of the sequence. 
We will represent the sequence of values x_{0}, x_{1},
x_{2}, x_{3}, ... by the sequence of points 
(x_{0}, x_{0}), (x_{1}, x_{1}),
(x_{2}, x_{2}), ... 
To do this, we need to include the graph of x_{n+1} =
x_{n} and of x_{n+1} = f(x_{n}). 
Select the
starting value x_{0} and plot the point (x_{0}, 0) 
Click the picture to see the next step. 