Definition:Dependent Variable/Real Function

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

Let $\map f x = y$.

Then $y$ is referred to as a dependent variable.

Also see

 * Definition:Real Independent Variable

The terms independent variable and dependent variable arise from the idea that it is usual to consider that $x$ can be chosen independently of $y$, but having chosen $x$, the value of $y$ then depends on the value of $x$.