Why Doesn't My 2-Sphere Graph Correctly in GraphCalc?

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The user attempted to graph a 2-sphere in GraphCalc using the equations z=√(-x²-y²+9) and z=-√(-x²-y²+9), expecting a sphere centered at the origin with a radius of 3. However, the graph did not appear as intended, particularly near the xy-plane where the slope becomes steep. The issue arises because GraphCalc evaluates function values on a limited grid, leading to inaccuracies in rendering the sphere. Despite the initial failure, the sphere is present but distorted due to these graphical limitations. Understanding the program's constraints can help improve future attempts at graphing complex shapes.
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i attempted to graph a 2-sphere on graphcalc and it wouldn't work. the equations had to be in terms of z, so i had to use: z=\sqrt{-x^2-y^2+9} and z=-\sqrt{-x^2-y^2+9}. i thought that would give me a 2-sphere at the origin with a radius of 3, but it didn't. i got:[PLAIN]http://photobucket.com/albums/a192/YoDizzle/th_almostsphere.bmp.[/URL] what did i do wrong?

the split is along the x y plane. if it matters, this is my first try at using graphcalc.
 
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You got a sphere. It just breaks down near the xy-plane, because the approximations get fuzzy as the slope becomes very large. Your program only evaluates the function value on a small grid of points.
 

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