### Iteration and Spider Diagrams - Chris Sawer

##### 27th January 2001
A function is a rule or set of rules which takes one number and maps it onto another. Usually some formula is used to define a function, for example $f(x) = 2x - 0.5$ defines a function f. Iterating a function means taking the output of that function, putting it back through the function again, and then repeating this process a number of times. In this presentation the iteration of functions is investigated - both numerically and graphically (using spider diagrams).