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Linear function - Wikipedia

In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. [2] For distinguishing such a linear function from the other concept, the term affine function is often used.

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1.2: What Are Linear Functions? - Mathematics LibreTexts

When a function of vectors obeys the additivity and homogeneity properties we say that it is \(\textit{linear}\) (this is the "linear'' of linear algebra). Together, additivity and homogeneity are called \(\textit{linearity}\). Other, equivalent, names for linear functions are: Function = Transformation = Operator

1.2: What Are Linear Functions? - Mathematics LibreTexts

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Linear Functions | College Algebra - Lumen Learning

Learn what linear functions are, how to represent them in different forms, and how to interpret their graphs. A linear function is a function with a constant rate of change, such as the growth of a bamboo plant or the motion of a Maglev train.

Linear Functions | College Algebra - Lumen Learning

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3.2: Linear Functions - Mathematics LibreTexts

A linear function is a function that can be written f(x) = mx + b for some numbers m and b. The number m is called the slope of the function, and represents the rate of change of the function. The number b is called the vertical intercept of the function, and represents the starting value of the function.

3.2: Linear Functions - Mathematics LibreTexts

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Common Functions Reference - Math is Fun

Here are some of the most commonly used functions, and their graphs: Linear Function: f (x) = mx + b. Square Function: f (x) = x2. Cube Function: f (x) = x3. Square Root Function: f (x) = √x.

Common Functions Reference - Math is Fun

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Study Guide - Introduction to Linear Functions - Symbolab

Key Points. A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. A function is a relation with the property that each input is related to exactly one output. A relation is a set of ordered pairs.

Study Guide - Introduction to Linear Functions - Symbolab

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Linear Function: Definition, Graph and Examples - Flamath

A linear function is a specific type of mathematical function that describes a linear relationship between variables, it has the form f(x)=mx+b. Meanwhile, a linear equation is an equality involving linear algebraic expressions, it has the form ax+b=0.

Linear Function: Definition, Graph and Examples - Flamath

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4.1: Linear Functions - Mathematics LibreTexts

The function describing the train’s motion is a linear function, which is defined as a function with a constant rate of change, that is, a polynomial of degree 1. There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

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4.2: Linear Functions - Mathematics LibreTexts

The function describing the train’s motion is a linear function, which is defined as a function with a constant rate of change. This is a polynomial of degree 1. There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

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4.1 Linear Functions - College Algebra 2e - OpenStax

The function describing the train’s motion is a linear function, which is defined as a function with a constant rate of change. This is a polynomial of degree 1. There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form. We will describe the train’s motion as a function ...