Definition:Support of Continuous Mapping/Real-Valued

Definition
Let $f: \R^n \to \R$ be a continuous real-valued function.

The support of $f$ is the closure of the set of elements $x$ of $\R^n$ whose values under $f$ are non-zero.

That is:
 * $\map {\operatorname{supp}} f = \overline{\set{x \in \R^n: \map f x \ne 0}}$