Graph 3D Calculator
3D Graphing Calculator works out Function plotted and Value at the query point from Function, x from and x to. The default figures on this page give function plotted of z = x^2 + y^2; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow 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 |
Its 6 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
4 sources
What the 3D Graphing Calculator calculates
Plots y = f(x), a piecewise function or a z = f(x, y) surface over a chosen domain, returning the sampled points, the range, the intercepts, the zeros and any intersection with a second curve.
How to use this 3D Graphing Calculator
Enter Function, x from, x to and y from (3D). Function plotted updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Function plotted, Value at the query point and Smallest sampled value.
The method follows OpenStax College Algebra 2e, section 3.2 Domain and Range, OpenStax College Algebra 2e, section 3.4 Composition of Functions / piecewise definitions, Burden & Faires, Numerical Analysis, section 2.1 (the Bisection Method) and W3C Scalable Vector Graphics (SVG) 1.1, section 8.3 Path data.
What you can compare
Change one input at a time to see how it affects Function plotted, Value at the query point and Smallest sampled value. The inputs you can vary are Function, x from, x to, y from (3D), y to (3D) and Grid points per axis (3D).
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
Do 3D graphing calculators exist?
Plots y = f(x), a piecewise function or a z = f(x, y) surface over a chosen domain, returning the sampled points, the range, the intercepts, the zeros and any intersection with a second curve. On the figures this page opens with — x from -3, x to 3 and evaluate at x 1 — the function plotted is z = x² + y². Put your own figures in their place and the working updates beside the result.
Can the TI-84 graph in 3D?
It needs Function, x from, x to, y from (3D), y to (3D) and Grid points per axis (3D). Nothing else is required, and the figures stay in your browser.
Can a regular calculator do 3D graphs?
The result gives Function plotted, Value at the query point, Smallest sampled value, Largest sampled value, y-intercept and Zeros in the interval, each labelled with its unit so the figure can be read on its own.
How to graph a 3D graph?
Plots y = f(x), a piecewise function or a z = f(x, y) surface over a chosen domain, returning the sampled points, the range, the intercepts, the zeros and any intersection with a second curve. Open “How this is worked out” beside the result to see each step for your own figures.
How to 3D graph on TI-89?
The page opens with worked default figures: function plotted of z = x^2 + y^2. Replace them with your own and every figure updates as you type.
What information do I need for the 3D Graphing Calculator?
You need Function, x from, x to, y from (3D), y to (3D), Grid points per axis (3D), Evaluate at x and Evaluate at y (3D). The page opens with default figures that give function plotted of z = x^2 + y^2, so you can see the scale before entering your own.