Linear function (calculus): Difference between revisions

Revision as of 13:19, 18 December 2021

Revision as of 23:40, 14 September 2022

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{{incomplete|the case of multivariate functions and vector valued functions, which must be considered, as this article is linked to from [[Jacobian matrix]]|date=February 2020}}

[[Image:wiki linear function.png|thumb|right|Graph of the linear function: <math>y(x) = -x + 2</math>]]

In [[calculus]] and related areas of mathematics, a '''linear function''' fromfromｎ the real numbers to the real numbers is a function whose graph (in [[Cartesian coordinates]]) is a non-vertical [[line (geometry)|line]] in the plane.<ref>Stewart 2012, p. 23</ref>

The characteristic property of linear functions is that when the input variable is changed, the change in the output is [[Proportionality (mathematics)|proportional]] to the change in the input.