A rule that assigns each value of the independent variable to exactly one value of the dependent variable is known as a function. In mathematical terms, a function can be represented as ( f(x) ), where ( x ) is the independent variable and ( f(x) ) is the corresponding dependent variable. This ensures that for every input value, there is a unique output value, maintaining the integrity of the relationship between the two variables. Functions are fundamental in mathematics and are used to model various real-world phenomena.
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