Independent variable

Definition

An independent variable is a variable that represents the input or cause and is not affected by other variables in the function. It is typically plotted on the horizontal axis of a graph.

5 Must Know Facts For Your Next Test

1. The independent variable is often denoted as $x$ in functions.
2. In a function $f(x)$, $x$ is the independent variable while $f(x)$ is the dependent variable.
3. Changing the independent variable directly affects the output or dependent variable.
4. In graphs, the independent variable is usually represented on the x-axis.
5. Understanding how to manipulate and interpret independent variables is crucial for solving and graphing functions.

Review Questions

• What role does an independent variable play in a function?
• How is an independent variable typically represented on a graph?
• Explain how changing an independent variable affects a function.

Related terms

Dependent Variable: A dependent variable is a variable whose value depends on that of another; it is typically represented as $y$ or $f(x)$ in functions.

Function: A relationship between two sets that assigns to every element of a first set (domain) exactly one element of a second set (range).

$y$-axis: $y$-axis refers to the vertical axis in a coordinate system where dependent variables are plotted.