Consider the logistic map , and the sequence of iterates . Here is a parameter .

So my question is how can I (computationally) show that the map is well defined, that is, the range of g is included in for all . Also, how can I find the fixed points of as and and determine whether the FPI method is convergent. That is, use the FPI Theorem and cobweb analysis to study the evolution of the iterates starting with a given initial value .