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Dependent variable

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College Algebra

Definition

The dependent variable is the output of a function, whose value depends on the input or independent variable. It is usually represented as $y$ in the equation $y = f(x)$.

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5 Must Know Facts For Your Next Test

  1. In the function notation $f(x) = y$, $y$ is the dependent variable.
  2. The dependent variable changes in response to the independent variable.
  3. Graphically, the dependent variable is plotted on the y-axis.
  4. If $f(x) = x^2 + 3x + 2$, then $f(x)$ (or $y$) is the dependent variable.
  5. Dependent variables are essential for understanding how functions map inputs to outputs.

Review Questions

  • What axis is typically used to plot the dependent variable in a graph?
  • In the function notation $f(x) = y$, identify which part represents the dependent variable.
  • Given the function $h(t) = t^3 - t$, what is the dependent variable?

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