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Codomain and range

  1. Dec 8, 2013 #1
    ≤What's the differnece between codomain and range?

    Is the range a subset of the codomain?

    And the codomain basically contains all possible values or elements the set R (Range) can contain?

    For example:
    Let f(x) = x + 1 be a function from the set of real numbers (0≤x≤4) to the set of integers.

    Codomain = Set of integers
    Range = 1≤f(x)≤5 where f(x) is an integer.

    Now what if
    f(x) = x + 1.1 be a function from the set of integers (0≤x≤4) to the set of integers.
    Then is the range an empty set?
  2. jcsd
  3. Dec 8, 2013 #2
    One more question.
    If the range is equal to the codomain then the function is onto?
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