Yes it is also called the manipulated variable. Y is the range and dependent
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Domain is the independent variable in an equation. It is what you put "in" the equation to get the Range.
Changes in the independent variable are independent of changes in any other variable,
The independent variable of an experiment is the variable that you change, and the dependent variable is the result of the independent variable.
An independent variable is a variable which stands independent and is unaffected by other variables. A dependent variable is a variable which is a response to the independent variable, and is usually the factor that is being tested in an experiment.
Generally speaking, yes. The variable x is generally used as the independent variable. And y is generally the variable the depends on the value of x. So in most examples the x axis and the "independent" axis are the same.