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Linear function (calculus)

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) is a non-vertical line in the plane.[1] The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input.

Not to be confused with linear functional or linear map.

Linear functions are related to linear equations.

a generalization

Affine map

a linear function of integer argument

Arithmetic progression

Stewart, James (2012), Calculus: Early Transcendentals (7E ed.), Brooks/Cole,  978-0-538-49790-9

ISBN

Swokowski, Earl W. (1983), (Alternate ed.), Boston: Prindle, Weber & Schmidt, ISBN 0871503417

Calculus with analytic geometry

https://web.archive.org/web/20130524101825/http://www.math.okstate.edu/~noell/ebsm/linear.html

https://web.archive.org/web/20180722042342/https://corestandards.org/assets/CCSSI_Math%20Standards.pdf