Definition of linear function

Posted on September 25, 2012. Filed under: Uncategorized | Tags: , |

 

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.


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