Classification,+ Comparison+and+Contrast+Version+1+with+classmate+comments

=Nice try... remember to ask Edward to check this...= =Classification:=

The Functions can be classifed into three branches: Linear functions, Exponencial Funtions and Trigonometric Functions.


 * **Linear Funtions:** These functions are those that changes at constant rate with respect to its independent variable. These can be written with the expresion:

y = M x + b

Where: "**y**" It is the dependent variable. "**x**" It is the independent variable. "**M**" It is the slope of the function. "**b**" It is a constant, that represent a court on Y axis by the line (which line?).


 * **Exponential Funtions:** These functions are of the form:

y = a ^ x

"**a**" It is a constant, that represent the **Base** "**x**" it is the Independent variable and represent the **Exponent** of the function. and has a exponencial growing with a constant rate respect to the values assigned to its independent variable.


 * **Trigonometric Funtions:** These funtions are those that stablish a relation between the angles and its oscillatory characteristic, with circumscribed triangles in a circumference, where the independent variable in the function represent the sweep angle.

Some expresions of trigonometric funtions are:

y = Sen ( x ) ; y = Cos ( x )

y = Sen (x) / Cos (x) = Tg ( x )

=Comparison and Contrast:=

The funtions has features that diference it of the other operations in calculus. When you assing ( assign) a value to the independent variable, you will obtatin (obtain) a new value of the depended variable. In other words, it works like a machine, where you put the "material" and in the end of the process, You will obtain a "Product".

That is the relevant diference between the functions and other operations in math like the Matrix's, determinants, that doesn't depends of variables.

On the other hand, There are other operations that are functions but uses diferent operator to some useful values.

For Example: The Integral use functions to calculated the down area of a curve using integral propietries to modify the funtions.