File:Sage image x squared vs x cubed.gif

 

This diagram was created with SageMath.

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone 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()