3D Plot Calculator
Function plotted
z = x^2 + y^2
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Samples inside the domain
121
Smallest surface height
0
Largest surface height
8
Worked out from OpenStax College Algebra 2e, section 3.2 Domain and Range and 3 other sources.
How this is worked out
3 steps
- z = x^2 + y^2 sampled on a 11 x 11 grid.
- x runs from -2 to 2; y runs from -2 to 2.
- Surface heights range from 0 to 8.
Surface height gridtable
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 8 | 6.56 | 5.44 | 4.64 | 4.16 | 4 | 4.16 | 4.64 | 5.44 | 6.56 | 8 |
| 6.56 | 5.12 | 4 | 3.2 | 2.72 | 2.56 | 2.72 | 3.2 | 4 | 5.12 | 6.56 |
| 5.44 | 4 | 2.88 | 2.08 | 1.6 | 1.44 | 1.6 | 2.08 | 2.88 | 4 | 5.44 |
| 4.64 | 3.2 | 2.08 | 1.28 | 0.8 | 0.64 | 0.8 | 1.28 | 2.08 | 3.2 | 4.64 |
| 4.16 | 2.72 | 1.6 | 0.8 | 0.32 | 0.16 | 0.32 | 0.8 | 1.6 | 2.72 | 4.16 |
| 4 | 2.56 | 1.44 | 0.64 | 0.16 | 0 | 0.16 | 0.64 | 1.44 | 2.56 | 4 |
| 4.16 | 2.72 | 1.6 | 0.8 | 0.32 | 0.16 | 0.32 | 0.8 | 1.6 | 2.72 | 4.16 |
| 4.64 | 3.2 | 2.08 | 1.28 | 0.8 | 0.64 | 0.8 | 1.28 | 2.08 | 3.2 | 4.64 |
| 5.44 | 4 | 2.88 | 2.08 | 1.6 | 1.44 | 1.6 | 2.08 | 2.88 | 4 | 5.44 |
| 6.56 | 5.12 | 4 | 3.2 | 2.72 | 2.56 | 2.72 | 3.2 | 4 | 5.12 | 6.56 |
| 8 | 6.56 | 5.44 | 4.64 | 4.16 | 4 | 4.16 | 4.64 | 5.44 | 6.56 | 8 |
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