Cobweb plot: Difference between revisions

Revision as of 06:54, 20 August 2014

Revision as of 05:17, 30 December 2015

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==Method==

For a given iterated function {{math|''f'':&nbsp;'''R'''&nbsp;→&nbsp;'''R'''}}, the plot consists of a diagonal ({{tmath|1=x = y}}) line and a curve representing {{tmath|1=y = f(x)}}. To plot the behaviour of a value <math>x_0</math>, apply the following steps.

# Find the point on the function curve with an x-coordinate of <math>x_0</math>. This has the coordinates (<math>(x_0, f(x_0))</math>).

# Plot horizontally across from this point to the diagonal line. This has the coordinates (<math>(f(x_0), f(x_0))</math>).

# Plot vertically from the point on the diagonal to the function curve. This has the coordinates (<math>(f(x_0), f(f(x_0)))</math>).

# Repeat from step 2 as required.