Value (mathematics)

Value (mathematics)

In mathematics, value commonly refers to the 'output' of a function. In the most basic case, that of unary, single-valued functions, there is one input (the "argument") and one output (the "value of the function").:Example: If the function f is defined by prescribing that f(x) = 2x^2-3x+1 for each real number x, then the input 3 will yield the function value 10 (since indeed 2cdot3^2-3cdot3+1 = 10).The function f of the example is real-valued, since each and every possible function value is real. On the other hand, it is not injective, since different inputs may yield the same value; e.g., f(-1.5) = 10, too.

In some contexts, for convenience, functions may be considered to have several arguments and/or several values; also cf. the discussion in the article function. However, strictly seen, this is not an extension, since such functions may be considered as having single families and/or sets as input or output.

Value is also used in other senses, e.g., to specify a certain instance of a variable.:Example: f(x) = 0 for two separate values of x, namely, for x=0.5 and for x=1.

See also

*Absolute value
*Valuation (mathematics)
*Value distribution theory of holomorphic functions


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