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A function is a relationship between quantities (variables) that occurs when the value of one of the quantities can be given uniquely by specified values of the other quantities. The variables involved can be either independent or dependent. The values of certain variables are fixed while others are allowed to change. The fixed variables are called the independent variables, and the dependent variables are those that change in response to the given value of the independent variable. A function therefore relates dependent variables to independent variables, the only restriction being that each value of the dependent variable is given uniquely by one, and only one, value for each of the independent variables.

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Q: Why are function notation important?

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Function notation means the function whose input is x. The mathematical way to write a function notation is f(x).

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the simplest form of function.

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