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real function


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A function from the set R of real numbers (or a subset of R) to R. Thus, if f is a real function, then, for every real number x in the domain, a corresponding real number f(x) is defined. In analysis, a function f: SR is often defined by giving a formula for f(x), without specifying the domain S (see function). In that case, it is usual to assume that the domain is the largest possible subset S of R. For example, if f(x)=1/(x−2), the domain would be taken to be R\ {2}; that is, the set of all real numbers not equal to 2. If f(x) = √9 − x2, the domain would be the closed interval [−3, 3].

Subjects: Mathematics.


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