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# What is a linear function?

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A linear function is a function whose graph is a line in the plane. The characteristic property of these functions is that when the value of the input variable is changed, the change in the output is a constant multiple of the change in the input variable.

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A linear function is a polynomial function in which the variable x has a degree, which is at most one.

The domain, which is the set of allowed values for x of a linear function, is the entire set of real numbers or whatever field that is in use. This means that any real number can be substituted for x.

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## Related Questions

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A system of linear inequalities is a set of equations of the form f(x) < 0, where f(x) is a function depending on several variables. For the inequalities to be linear, there cannot be any terms in the equations in which variables multiply or divide other variables

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A polynomial function is any function that contains more than one monomial, with non-negative exponents, and only contains addition, subtraction, multiplication or division operations. A monomial is a single term consisting of a coefficient and variable, even if the coefficient is one or the variable is 0 and isn't written explicitly.

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The inverse function of ln(x) is e^x, where e is the mathematical constant e = 2.718. One can easily check that these two functions are inverses of each other by noting that ln(e^x) = e^ln(x) = 1.