Real-valued function

In mathematics, a real-valued function is a function whose values are real numbers. In other words, it is a function that assigns a real number to each member of its domain.

Mass measured in grams is a function from this collection of weight to positive real numbers. The term "weight function", an allusion to this example, is used in pure and applied mathematics.

Real-valued functions of a real variable (commonly called real functions) and real-valued functions of several real variables are the main object of study of calculus and, more generally, real analysis. In particular, many function spaces consist of real-valued functions.


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