Range (mathematics)

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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 $\operatorname {Range} (f)$ ,^[1]^[2] is the set of elements that the function outputs.^[3]
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.

Related pages

Surjective function

References

↑ "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-28.
↑ Weisstein, Eric W. "Range". mathworld.wolfram.com. Retrieved 2020-08-28.
↑ Nykamp, Duane. "Range definition". Math Insight. Retrieved August 28, 2020.

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[1] "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-28.

[2] Weisstein, Eric W. "Range". mathworld.wolfram.com. Retrieved 2020-08-28.

[3] Nykamp, Duane. "Range definition". Math Insight. Retrieved August 28, 2020.

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