## Can you graph a multivariable function?

Whenever you’re dealing with a multivariable function, the graph of that function will be a three-dimensional figure in space. Then we want to be able to transfer all those two-dimensional curves into the two-dimensional plane, sketching those in the xy-plane.

## How do you plot two variables on a graph?

Graph a linear equation by plotting points.

- Find three points whose coordinates are solutions to the equation. Organize them in a table.
- Plot the points in a rectangular coordinate system. Check that the points line up.
- Draw the line through the three points.

**What is the graph of a multivariable function?**

The graph of a function f of two variables is the set of all points (x,y,f(x,y)) where (x,y) is in the domain of f . This creates a surface in space. 12.1: Introduction to Multivariable Functions – Mathematics LibreTexts

**How to sketch level curves of multivariable functions?**

What we want to be able to do is slice through the figure at all different heights in order to get what we call the “level curves” of a function. Then we want to be able to transfer all those two-dimensional curves into the two-dimensional plane, sketching those in the xy-plane. This will give us the sketch of level curves of the function.

### Which is an example of a multidimensional graph?

Examples and limitations of graphing multivariable functions. Graphing a function with a two-dimensional input and a one-dimensional output requires plotting points in three-dimensional space. This ends up looking like a surface in three-dimensions, where the height of the surface above the -plane indicates the value of the function at each point.

### Can you graph a multidimensional function one slice at a time?

In this way, you can understand the three-dimensional graph of a multivariable function one slice at a time by holding one variable constant and looking at the resulting two-dimensional graph. You can also graph a function with a one-dimensional input and a two-dimensional outputâ€”although, for whatever reason, this is not commonly done.