Does the dependent variable always or might change as the independent variable changes?

Does the dependent variable always or might change as the independent variable changes?Does the dependent variable always or might change as the independent variable changes?
Might change

A well designed experiment changing independent variable X will show a clear verification with dependent variable Y changing or the experimental hypothesis will be falsified when Y does not change as expected. The experiment is designed in such a way as to demonstrate if there is such a correlation by holding other factors constant or with controls to show what the other factors do.