# Definition:Vector-Valued Function/Component Function

## Definition

Let $f_1, f_2, \ldots, f_n$ be real functions of $t$.

Let $\mathbb T \subseteq \R, \mathbb Y \subseteq \R^n$ (where usually $n \ge 2$).

Let $\mathbf r$ be a vector-valued function from $\mathbb T \to \mathbb Y$.

Each $f_1, f_2, \ldots, f_n$ is a component function of $\mathbf r$.