__Constant Function:__

Let ‘A’ and ‘B’ be any two non–empty sets, then a function ‘’ from ‘A’ to ‘B’ is called Constant Function if and only if range of ‘’ is a singleton.

__Algebraic Function:__

The function defined by algebraic expression are called algebraic function.

e.g.

__Polynomial Function:__

A function of the form

Where ‘n’ is a positive integer and are real number is called a polynomial function of degree ‘n’.

__Linear Function:__

A polynomial function with degree ‘’ is called a linear function. The most general form of linear function is

__Quadratic Function:__

A polynomial function with degree ‘2’ is called a Quadratic function. The most general form of Quadratic equation is

__Cubic Function:__

A polynomial function with degree ‘3’ is called cubic function. The most general form of cubic function is

__Identity Function:__

Let be a function then ‘’ is called on identity function. If .

__Rational Function:__

A function defined by , where both andare polynomial function is called, rational function.

__Trigonometric Function:__

A function, etc, then is called trigonometric function.

__Exponential Function:__

A function in which the variable appears as exponent (power) is called an exponential function

e.g. (i) (ii) .

__Logarithmic Function:__

A function in which the variable appears as an argument of logarithmic is called logarithmic function.

e.g. .