linear function

Function whose graph is a straight line; polynomial function of degree at most one

Entitytype of mathematical functionQ188597

Also known as affine function · line · straight-line function

Instance of: type of mathematical function
Subclass of: polynomial function
, equivalence relation

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph is a non-vertical line in the plane. 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.

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25 statements · 0% with external sources · numbers in brackets are citations

Follows: constant function criterion used: degree of a polynomial
Followed by: quadratic function criterion used: degree of a polynomial
Different from: linear map
linear polynomial
Has characteristic: degree of a polynomial numeric value: 1
Defining formula: f(x)=ax+b
In defining formula: f symbol represents: name of function
a symbol represents: slope
b symbol represents: y-intercept
x symbol represents: independent variable

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9 identifiers linking linear function across the web's reference databases

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Source last edited August 13, 2026. AIDB refreshes this page daily.

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AIDB. (2026). linear function (Q188597). Retrieved from https://aidb.si/e/linear-function-Q188597