Calculus I

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Dependent variable

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Calculus I

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 $y = f(x)$.

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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?

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