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Domain

Concept

Domain

The domain, D,D, is the set of all xx-values or inputs for which a function is defined. There are two reasons for numbers to be excluded from the domain:

  • The number gives a forbidden calculation, such as -1\sqrt{\text{-}1} or 20.\frac{2}{0}.
  • The function describes a specific situation. Suppose, for example, f(x)f(x) represents the price of xx apples. It does not make sense to consider the cost of -5\text{-} 5 apples. Thus, -5\text{-} 5 would not be in the domain of f(x).f(x).

Since yy is a function of x,x, the range depends on the domain .

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