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Match Variables to Their Roles

publish date: 2026/05/23 18:30:34.872188 UTC

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For each function below, match the listed variable to its correct role.

To complete the line match

  1. Click on an item in the first group
  2. Click on the match in the second group

To delete a match, double click on a line

Variable

In y = sin x : the variable x
In y = sin x : the variable y
In y = x² - 2x + 3 : the variable x
In y = x² - 2x + 3 : the variable y

Role

Independent variable
Dependent variable

Correct Answer

(1) In y = sin x : the variable x,Independent variable
(2) In y = sin x : the variable y,Dependent variable
(3) In y = x² - 2x + 3 : the variable x,Independent variable
(4) In y = x² - 2x + 3 : the variable y,Dependent variable

Explanation

In any function of the form \(y = f(x)\), \(x\) is always the independent variable (freely chosen from the domain) and \(y\) is always the dependent variable (its value is determined by the rule \(f\) once \(x\) is fixed).

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

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