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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 }.

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) }, 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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