Linear function (calculus): Difference between revisions

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{{distinguish|linear functional|linear map}}

[[Image:wiki linear function.png|thumb|right|Graph of the linear function: {{math|1=''y''(''x'') = −''x'' + 2}}]]<!-- people, find an SVG image please instead of this abomination -->

In [[calculus]] and related areas of mathematics, a '''linear function''' from the real numbers to the real numbers is a function whose graph (in [[Cartesian coordinates]] with uniform scales) is a [[line (geometry)|line]] in the plane.<ref>Stewart 2012, p. 23</ref> Their
The characteristic property thatof whenlinear thefunctions valueis ofthat when the input variable is changed, the change in the output is a[[Proportionality_(mathematics)|proportional]] constant multiple ofto the change in the input variable.

Linear functions are related to [[linear equation]]s.