Image:Root graphs.svg

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Root_graphs.svg‎ (SVG file, nominally 800 × 600 pixels, file size: 108 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.Commons is a freely licensed media file repository. You can help.

Summary

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

Graphs of the roots (in ascending order)

f(x)= $x 8$
f(x)= $x 4$
f(x)= $x 2$
f(x)= $x$
f(x)= $\sqrt[2]{x}$
f(x)= $\sqrt[4]{x}$
f(x)= $\sqrt[8]{x}$
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".

This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0

You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	02:14, 18 January 2007	800×600 (108 KB)	EnEdC	(Postprocess)
	02:09, 18 January 2007	800×600 (128 KB)	EnEdC	(SVG recreation of Image:Root graphs.png: <blockquote> Graphs of the roots (in ascending order) f(x)=<math>x^8</math> f(x)=<math>x^4</math> f(x)=<math>x^2</math> f(x)=<math>x</math> f(x)=<math>\sqrt[2]{x}</math> f(x)=<math>\sqrt[4]{x}</math> *)

File links

The following pages on Schools Wikipedia link to this image (list may be incomplete):

Exponentiation

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