Linear Function

Define Linear Function.

Linear Function is mathematics are the function that represents linear relation between dependent variable and independent variable. The graph of these function is a straight line.

What is Linear Function with Example?

Various examples of the linear function are,

  • y = 2x + 11
  • x + y = 5
  • -y = -x + 13, etc.

What is the Basic Linear Formula?

Standard Form of Linear Equation Formula is,

ax + b = 0

where, a ≠ 0 and x is the variable

What are the 4 Types of Linear Functions?

The four(4) general types of Linear Function are,

  • Direct Variation
  • Slope-Intercept Form
  • Standard Form
  • Point-Slope Form

What are Linear and Non Linear Function?

Linear Function are the function that have degree one. Whereas the function that have degree greater than one are called non-linear function for example, Parabolic Function, Hyperbolic Function, etc are non-linear function.



Linear Function

A linear function is a mathematical function that creates a straight line when graphed. It can be described by the formula: y = mx+b. A linear function in Algebra represents a straight line in the 2-D or 3-D cartesian plane. Hence this function is called a linear function. It is a function with variables and constant but no exponent value.

A linear function is represented as y = mx + c where y is the dependent variable and x is the independent variable. We know that for any function y = f(x) linear functions are also represented as, f(x) = mx + c

Let’s know more about Linear Function, Examples of Linear Function, equation and the graph of Linear function below.

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Linear Function

A function whose graph is a line is called a linear function. It is a polynomial function of degree one(1). A linear function relates the dependent variable to the independent variable by a linear relation. The standard form of representing a linear function is...

Non-Linear Function

A non-linear function is the function that are not linear in nature, i.e. the gaph of these function do not represent the straight line. The graph of these functions represents, circle, parabola, hyperbola, etc. These function are called,...

Linear Function Formula

Linear Function Formula is used to represent the objective function of the linear programming problems, which helps to maximize profits or minimize input cost. The data is provided in a LPP is a linear function. In general a linear function is in the form, f(x) = ax + b and the propose of the Linear Programing Problems is to maximize or minimize the linear function under some conditions that are given in the LPP....

How to Find Linear Function

A linear function connecting at least two coordinates is easily found using the point slope form or slope intercept form of a line. As a linear function is the equation of straight line. It is found using equation of line concept. This is explained in the example added below,...

Graphing of a Linear Function

We know that graph of linear equation represents the straight line and to draw a straight line we need at least two point and joining those two points and stretching the line in both the direction gives the required straight line. The graph of a linear function f(x) = mx + b is shown in the image added below as,...

Domain and Range of Linear Function

Domain of the linear function is the collection of all real numbers, and the range of a linear function is the collection of all numbers that are found by substituting the value of in the linear function....

Inverse of Linear Function

Inverse of the linear function f(x) = ax + b is represented as by a function f-1(x) such that,...

Piecewise Linear Function

A function that is linear on some domain of the function or the function that is function in a specific interval of domain is called the Piecewise Linear Function. Example of Piecewise Linear Function is,...

Examples of Linear Functions

Example 1: Find the linear function that has two points (-2, 17) and (1, 26) on it....

Practice Questions on Linear Function

Q1. Plot the graph of the following equation 2x + y − 8 = 0...

Linear Function – FAQs

Define Linear Function....

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