Definition:Real Function/Definition 1

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Let $S \subseteq \R$ be a subset of the set of real numbers $\R$.

Suppose that, for each value of the independent variable $x$ of $S$, there exists a corresponding value of the dependent variable $y$.

Then the dependent variable $y$ is a (real) function the independent variable $x$.

Also see

  • Results about real functions can be found here.