# Range

Given its domain, the **range** of a function is the set of all values to which a function is defined.

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### Remember

The range is the set of

**all possible outputs**, which are calculated with the inputs of the domain.As with the domain there are two possible notations:

- Set notation
- Interval notation

### Example

Following function is given $f(x)=x^2$. When squaring a value the result cannot be a negative number. So the range is:

$[0,\infty[$

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### Hint

We are talking about the

Note: Infinity ($\infty$) must never be in the range (it always has an open limit).

**interval notation**. The zero is included in the interval or range.Note: Infinity ($\infty$) must never be in the range (it always has an open limit).

A different notation would be:

$\mathbb{R}^{+}_{0}$ (set notation)

*(All positive real numbers and zero included)*