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Is there an easy way of how to graph a 3D function. I tried doing research but none helped. Can anyone show me how to graph a 3D function? Here are the given: $z=x^2$, $x=0, x=2$ and $y=0, y=4$. Any answer and suggestion will be much appreciated. Thanks in advance for those who coukd help and gove some tips.

It will look like this:

Plot3D[x^2,{x,0,2},{y,0,4}]

But how can I graph it in real life?

Bido262
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  • On WA, use the command Plot3D[x^2,{x,0,2},{y,0,4}] – achille hui May 05 '19 at 07:55
  • No no no. What I mean is that how can I graph it in real life not in this website. – Bido262 May 05 '19 at 07:59
  • I real life, you could use some clay and shape this parabolic cylinder on top of a wooden rectangle. The surface is like here, but flipped and just a half of it: https://www.mathcurve.com/surfaces/cylindreparabolic/cylindreparabolic.shtml –  May 05 '19 at 09:44

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If you can graph a parabola $z=x^2$, show prismatic lines of extrusion as a cylinder to form a long cylindrical surface along $y-$ direction and out of which truncate the long cylinder so formed between limits ( or cutting plane levels) $ ( y=0, y=4) $ then you are done.

Wolfram Alpha pic

Narasimham
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