|
Nature of Functions:
I. One – One Function:
Let 'A' and 'B' be any two non–empty sets then a function ' ' from A to B is called one–one function, if and only if distinct elements of set A have distinct elements of set B.
e.g.  , 
In Mathematically,
Let  be a function then ' ' is called one–one function iff
(i) 
(ii) 
II. Onto Function:
Let 'A' and 'B' be any two non–empty sets then a function ' ' from A to B is called onto function iff
Range of 
e.g.  , 
Range of 
III. Bijective Function:
A function which is one–one as well as onto function is called bijective function.
e.g.  , 
Periodic Function:
A function  is said to be periodic if there is a positive number such that
The smallest such value of  is called the period of
 
Operations on Functions:
If ' ' and ' ' are the functions of 'x'; then the sum of , difference of  and quotient are defined as.
-
|
