Even & Odd function
Every function has its own identity . Let, a function f(x) is defined in a particular interval . If it satisfies the condition that,
f(x)=f(-x)
Then the function f is even function .
Whereas , if
f(-x)= -f(x)
Then the function is odd function.
The story is not over yet. There is a property which differentiate the odd function from even function. If I draw the graph of f(x) function which is odd then I will find no symmetry about y axis but if I take and even function and draw its graph then it will be symmetric about y axis. Here are two examples of even and odd function with their graphs..
Here we have to note that some functions are neither even not odd these are called NENO functions.
