No, because a function can also be defined between two interdependent variables so that there is no independent variable.
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An independent variable can be any of a given set of values while a dependent variable is represented as a function of another variable.
There are two sets for any given function, the domain and the range. The range is the set of outputs and the set of inputs is the domain.
Domain is a set in which the given function is valid and range is the set of all the values the function takes
It is the set which comprises the inputs to a function.
An independent variable is a variable that isn't affected by something else. A dependent variable is a variable that's affected by changes in the independent variable.