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DEFINITIONS :
A function y = f(x) is said to be even, if f(-x) = f(x). The graph of the even function is
always symmetrical about the y-axis.
A function y=f(x) is said to be odd, if f(-x) = - f(x). The graph of the odd function is always
symmetrical about the origin.
For example, the function f(x) = x in [-1,1] is even as f(-x) =  x  x = f(x) and the
function f(x) = x in [-1,1] is odd as f(-x) = -x = -f(x). The graphs of these functions are
shown below :