What does the term "dependent variable" represent in a function?

The term "dependent variable" refers to a variable in a function whose value is determined by the value of another variable, commonly known as the independent variable. In the context of functions, the dependent variable is typically represented on the y-axis, while the independent variable is plotted on the x-axis.

When a change is made to the independent variable, it directly influences the outcome or value of the dependent variable. For example, in the function (y = f(x)), (y) is dependent on (x), meaning that for different values of (x), there will be corresponding values of (y). This relationship highlights the interdependency between the two variables, solidifying the concept that the dependent variable relies on the independent variable for its value.

Understanding the role of the dependent variable is critical for analyzing data, constructing graphs, and interpreting the results of mathematical models.