Range (mathematics)

Image of a function $X$ from $X$ to $Y$. The yellow oval inside $Y$ is the range of $f$. $Y$ is the codomain of $f$.

In mathematics, the range is a concept which has various meanings in different topics:

• The range of a function $f$, also written as $\operatorname {ran} (f)$ or $\operatorname {Range} (f)$, is the set of elements that the function outputs.
• In statistics, the range is the difference between the lowest and highest values. For example. in {4, 6, 9, 3, 7}, the lowest value is 3, and the highest is 9, so the range is 9-3 = 6.
• In some occasions, the term "range" can also refer to the mathematical concept of interval.

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• Surjective function