972 B
972 B
| title |
|---|
| Even and Odd Functions |
Even and Odd Functions
General Functions
A function f is a mapping from a set A (input/domain) to an set B (output/co-domain). It can be of different types on the basis of a number of classifications.
Even Function:
A function f(x) is even if and only if f(x) = f(-x).
An example of an even function would be f(x) = x^2 because f(2) = 2^2 = 4 = (-2)^2 = f(-2).
The trigonometric functions - cos(x) and sec(x) are also even functions
Odd Function
A function f(x) is even if and only if f(x) = -f(-x)
An example of an odd function would be f(x) = x^3 because f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2).
The trigonometric functions - sin(x), tan(x),cot(x) and cosec(x) are also even functions