Summary

SVG recreation of Image:Root graphs.png by User:BrokenSegue:

Graphs of the roots (in ascending order)

• f(x)=${\displaystyle x^{8}}$
• f(x)=${\displaystyle x^{4}}$
• f(x)=${\displaystyle x^{2}}$
• f(x)=${\displaystyle x}$
• f(x)=${\displaystyle {\sqrt[{2}]{x}}}$
• f(x)=${\displaystyle {\sqrt[{4}]{x}}}$
• f(x)=${\displaystyle {\sqrt[{8}]{x}}}$

from 0 to 1. Made in MATLAB

Source

Created in w:Gnuplot:

set terminal svg size 800 600 fname "Verdana" fsize 16

set output "exp.svg"

set xrange [0:1]
set yrange [0:1]
set samples 500

set ticscale 0.5
set xtics 0.1
set ytics 0.1
set x2tics 0.1
set y2tics 0.1
set format x2 ""
set format y2 ""
set xlabel "x"
set ylabel "xⁿ"

unset grid
unset key
set border 15 linewidth 1

set label 1 "⅛" at 0.2,0.8
set label 2 "¼" at 0.3,0.7
set label 3 "½" at 0.4,0.6
set label 4 "1" at 0.5,0.5
set label 5 "2" at 0.6,0.4
set label 6 "4" at 0.7,0.3
set label 7 "8" at 0.8,0.2

plot x**0.125 1
plot x**0.25 2
plot x**0.5 3
plot x**1 4
plot x**2 5
plot x**4 6
plot x**8 7

Post-processing in w:Inkscape.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

Category:License migration redundant#Root%20graphs.svgCategory:GFDL#Root%20graphs.svg

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	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

Category:CC-BY-SA-3.0-migrated#Root%20graphs.svg

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/2.5CC BY-SA 2.5 Creative Commons Attribution-Share Alike 2.5 truetrue

Category:CC-BY-SA-2.5,2.0,1.0#Root%20graphs.svg

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