Range (mathematics)

ambiguous term, referring either to the codomain or the image of a function

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

  • The range of a function , also written as or ,[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 from to . The yellow oval inside is the range of . is the codomain of .


  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.