Multivariable Functions

## Description

In order to define a multivariable function $f(x,y)$ we must first define the second variable. The Sage cell below gives us the value of the function $f(x,y) = 2x^2 + 3y^2$ at the values $x=2$, $y=5$.

## Sage Cell

#### Code

```
var('y')
f(x, y) = 2 * x^2 + 3 * y^2
f(2, 5)
```

## Options

#### Half Evaluating a Function

We can lock one or more variables of a multivariable function and evaluate the function given the locked value

This also works using expressions instead of numbers:

```
var('y')
f(x, y) = 2 * x^2 + 3 * y^2
f(x=1)
```

```
var('y a')
f(x, y) = 2 * x^2 + 3 * y^2
f(x=a + 2)
```

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Date: 06 Nov 2018 15:44

Submitted by: James A Phillips