The mathematics functions can be divided into these categories:
- Linear Functions
- Polynomials
- Power Functions
- Rational Functions
- Algebraic Functions
- Trigonometric Functions
- Exponential Functions
- Logarithmic Functions
- Transcendental Functions
Where the most interesting category is the Rational Functions, of which a rational function is a ratio of two polynomials:
where P and Q are polynomials. The domain consists of all values of x such that
.
The interesting thing about the Rational Functions is that the graphs of some of them look like a human face! mostly the sad face.
The function
is a rational function with domain
. Its graph is shown as below.
What is more, the graph of the below function
looks like the Chinese character “冏”:
Funny! Isn’t it?