Definition:Real Function/Range

This page is about Range of Real Function. For other uses, see Range.

Definition

Let $S \subseteq \R$.

Let $f: S \to \R$ be a real function.

The range of $f$ is the set of values that the dependent variable can take.

That is, it is the image set of $f$.

Also known as

Modern treatments of the subject are usually more precise.

In particular, the word range may be taken to mean codomain.

Sources

• 1963: Morris Tenenbaum and Harry Pollard: Ordinary Differential Equations ... (previous) ... (next): Chapter $1$: Basic Concepts: Lesson $2 \text B$: The Meaning of the Term Function of One Independent Variable