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A function is a relationship between a set of inputs and a set of outputs. The key

requirement is that each allowable input relates to exactly one output value.

Equations are often used to define a function. That is, the relationship is given by a rule that tells how to find the output from any given input.

For example f(x)= 7x-2 says in words, given an input number, say x, multiply it by 7 and subtract 2, to get the associated output.

7x - 2 is called a linear expression because its highest power is one (and a function defined by a linear expression is called a linear function. )

A linear equation is an equation between two linear expressions.

Example: 2x + 3 = 7x - 2.

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