Dependent variable

Definition

A dependent variable is a variable whose value depends on one or more other variables. In functions, it is typically represented as $y$ in the equation $y = f(x)$.

5 Must Know Facts For Your Next Test

1. The dependent variable is usually plotted on the y-axis in a graph.
2. It changes in response to the independent variable(s).
3. In the function $y = f(x)$, $y$ is the dependent variable and $x$ is the independent variable.
4. Understanding how changes in the independent variable affect the dependent variable is key to analyzing functions.
5. Dependent variables are crucial for defining relationships between quantities in calculus.

Review Questions

• What axis is the dependent variable typically plotted on?
• In the function $y = f(x)$, which variable is dependent?
• How does a change in an independent variable affect a dependent variable?

Related terms

Independent Variable: A variable that stands alone and isn't changed by other variables you are trying to measure. In functions, it is typically represented as $x$.

Function: A relationship between two sets where each input (independent variable) has exactly one output (dependent variable).

$f(x)$ Notation: $f(x)$ represents a function with $x$ as its input. The notation denotes that $x$ affects the outcome of $f(x)$.