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
- The dependent variable is usually plotted on the y-axis in a graph.
- It changes in response to the independent variable(s).
- In the function $y = f(x)$, $y$ is the dependent variable and $x$ is the independent variable.
- Understanding how changes in the independent variable affect the dependent variable is key to analyzing functions.
- 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?
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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 $f(x)$.
