Range (mathematics)

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

• The range of a function ${\displaystyle f}$, also written as ${\displaystyle \operatorname {ran} (f)}$ or ${\displaystyle \operatorname {Range} (f)}$,^[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.

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

Related pages

• Surjective function

References

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.