File:Fixpoint012.pdf

Summary

Description
English: The function (depicted in red) has three fixpoints (depicted in green), viz. 0, 1, and 2, that is , , and .
Date
Source Own work
Author Jochen Burghardt
Other versions File:Fixpoint012.pdf * File:Fixpoint012_svg.svg
gnuplot source code
set grid
set key bottom right
set xrange[-0.25:+2.25]
set yrange[-0.25:+2.25]
f(x) = x*x*x - 3*x*x + 3*x
  plot f(x) with lines lt 7 lw 3 title "y = x^3-3x^2+3x"
replot x    with lines lt 8 lw 1 title "y = x"
set label "" at 0,0 point pt 7 lc 2 front
set label "" at 1,1 point pt 7 lc 2 front
set label "" at 2,2 point pt 7 lc 2 front
pause -1

Licensing

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Category:CC-Zero#Fixpoint012.pdf
Category:Self-published work Category:Fixed point Category:Identity line Category:Images with Gnuplot source code Category:Files by User:Jochen Burghardt
Category:CC-Zero Category:Files by User:Jochen Burghardt Category:Fixed point Category:Identity line Category:Images with Gnuplot source code Category:Self-published work