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Odd, Even and Periodic Functions

1. Even Function
If a function  is symmetrical about Y-axis i.e.  for all values of , then the function  is called an even function. E.g. Absolute value function. 

2. Odd Function
If a function  is symmetrical about origin i.e. ) for all values of , then the function  is called an odd function. 

3. Periodic Function
If there exists a constant  such that  is satisfied by all values of , then the function  is called a periodic function.
The smallest positive value of  satisfying  is known as the period of the function





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