Image:Sage image x squared vs x cubed.gif

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Sage_image_x_squared_vs_x_cubed.gif‎ (600 × 370 pixels, file size: 273 KB, MIME type: image/gif)

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[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible, I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

I made this with SAGE, an open-source math package, and release it to the world. SAGE code:

step = 0.2
L = Graphics()
v = []
w = []
for i in srange(-2,2,step):
   L += line([(i,i^2),(i+step,(i+step)^2)], rgbcolor=(1,0,0))
   L += line([(i,i^3),(i+step,(i+step)^3)], rgbcolor=(0,0,1))
   L.xmin(-2); L.ymin(-8); L.xmax(2); L.ymax(8)
   L.figsize = (2,10)
   L += text("x axis", (1.5,1))
   L += text("y axis", (.3,5))
   L += text("f(x)=x^2", (-1, 2.4), rgbcolor=(1,0,0))
   L += text("g(x)=x^3", (-0.9, -2.4), rgbcolor=(0,0,1))
   v.append(L)
   w.append(L)
a = animate(v + w)
a.show()

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