Graphical Iteration 1

To do this, we need to include the graph of x_n+1 = x_n and of x_n+1 = f(x_n).

To represent the dynamics of this process, we label the x-axis xn and the y-axis xn+1.

That is, if the x-coordinate of a point is one of the xn, then the y-coordinate is xn+1, the next value of the sequence.

We will represent the sequence of values x0, x1, x2, x3, ... by the sequence of points

(x0, x0) (x1, x1) (x2, x2) ...

Select the starting value x0 and plot the point (x0, 0)

Click the picture to see the next step.

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