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)….

1. Finish labeling a minimum of 8 points on the graph by right clicking on the point, click on object properties, type in your desired label next to “caption”, make sure “show label” is checked, next to “show label” , scroll down and choose caption.
2. In regards to point (X0, X1), How is the Y-coordinate generated? Why is the x-coordinate of the point of intersection X0?
3. In regards to point (X1, X1), How do we know the y-coordinate is X1?
4. What do you notice about all the points on the line Xn+1 = Xn?
5. What do you notice about the points on the line Xn+1 = Xn vs the points on the function Xn+1 = f(xn)?
6. In your own words, describe what a graphical iteration is.