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URL: https://www.merriam-webster.com/dictionary/linear function

⇱ LINEAR FUNCTION Definition & Meaning - Merriam-Webster


linear function

noun

1
: a mathematical function in which the variables appear only in the first degree, are multiplied by constants, and are combined only by addition and subtraction

Examples of linear function in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
That’s a tour of the sheaf of straight lines, or linear functions, over the real line. β€”πŸ‘ Image
Konstantin Kakaes, Quanta Magazine, 19 July 2024
There are six algebra modules, for example, including ones about linear functions, quadratics, and exponentials. β€”πŸ‘ Image
IEEE Spectrum, 22 July 2023
This weighted sum is then fed into a non-linear function called an activation functionβ€”a step that enables neural networks to model complex non-linear phenomena. β€”πŸ‘ Image
Timothy B. Lee, Ars Technica, 2 Dec. 2019
One of our favorite refrains: tennis careers are not linear functions. β€”πŸ‘ Image
Jon Wertheim, SI.com, 18 Mar. 2018

Word History

First Known Use

1853, in the meaning defined at sense 1

Time Traveler
The first known use of linear function was in 1853

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Cite this Entry

β€œLinear function.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/linear%20function. Accessed 8 Apr. 2026.

Kids Definition

linear function

noun
: a function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number
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Merriam-Webster unabridged

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