Example 3.  Use Mathematica's built in subroutine "FixedPointList" and continue investigation of the "repulsive fixed point" for the function   .

Solution 3.

Let's generate a list of points and plot that nifty graph.

Consider the following graph consisting of line segments joining the points given above.

Show this graph and the one in Example 1 on the same plot.

(c) John H. Mathews 2004