File:Root graphs.svg

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

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.

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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.

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