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.
The function defined by algebraic expression are called algebraic function.
A function of the form
Where ‘n’ is a positive integer and are real number is called a polynomial function of degree ‘n’.
A polynomial function with degree ‘’ is called a linear function. The most general form of linear function is
A polynomial function with degree ‘2’ is called a Quadratic function. The most general form of Quadratic equation is
A polynomial function with degree ‘3’ is called cubic function. The most general form of cubic function is
Let be a function then ‘’ is called on identity function. If .
A function defined by , where both andare polynomial function is called, rational function.
A function, etc, then is called trigonometric function.
A function in which the variable appears as exponent (power) is called an exponential function
e.g. (i) (ii) .
A function in which the variable appears as an argument of logarithmic is called logarithmic function.