Graphical Iteration 4

From the point (x1, x1), draw the vertical line until it intersects the graph of xn+1 = f(xn).

The x-coordinate of the point of intersection is x1, so the y-coordinate is f(x1) = x2.

This process, vertically to the graph xn+1 = f(xn), then horizontally to the diagonal line xn+1 = xn, is called graphical iteration.

Click on the picture for an animation of the first twenty steps. The function iterated here is the tent map.

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