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Math 382 Homework 7 [corrected]

Total 60 Points

1. Write a python function

cobweb(f, x0, n, xmin, xmax, ymin, ymax)

to draw a cobweb

plot of xed point iteration, where

f

name of function to plot.

x0

starting point value of x.

n

number of xed point iterations.

xmin

minimum value for x-axis on plot

xmax

maximum value for x-axis on plot

ymin

minimum value for y-axis on plot

ymax

maximum value for y-axis on plot

This is a reminder of what a typical cobweb plot looks like (not for the function you are

working with though, so your cobweb will look dierent).

Demonstrate that your cobweb plot works with the function call

cobweb(cos, 1.0, 200,0, 1.5, 0, 1)

2. Explore the convergence of the logistic map using your cobweb plot.

Run the function you wrote in problem 1 using the function

f

(

x

) =

rx

(1