# Definition of linear function

Function or a functional unit is defined as the association between a set of inputs and set of outputs. It can be defined as the relation of objects. When a function is defined there exists at least one value in the output set for value in an input set and if a function is one- one function then there exists exactly one value or one output for every input.

A function is of many types that are real functions, scalar functions, vector function, complex function, and a linear function. **Linear function definition** can be given as if it satisfies two main properties. First one among it is when f(a * x) is equals to a * f(x) where 'a' is a constant and 'x' is a variable and second property is given by f (x + y) is equals to f(x) + f(y). if a function satisfies these properties then it is said to be satisfying a linear function.

It is a single degree function and thus can also be considered as a polynomial function as it is represented by f (x) it is termed as a function of 'x'. A linear function is also a algebraic function in which a term is either in a form of product of constant or a constant or a single variable. For representation of a linear function if the coordinates are given then it can be expressed in the form of function and similarly opposite also exists that is if a function is given then coordinates can be determined. For example, if the coordinate is given as (4, 16) then function for this coordinate will be f (4) which is equals to 16. And graphically also it can be easily represented.

**Oxidation and Reduction** are fundamental concepts of chemistry, these concepts can be studied online. Cbse board papers are available on number of websites.

**Read Full Post**|

**Make a Comment**( None so far )