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The domain of the function means, for what values of the independent variable (input value) (or variables) is the function defined. If you have an equation of the type:y = f(x) ("y" somehow depends on "x") then the domain is all the values that "x" can take.
An independent variable can be any of a given set of values while a dependent variable is represented as a function of another variable.
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domain = x-values range = y-values for which x or y is a solution
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.