Definition of a Function
A function is a relationship that relates an input (ex. x) to an output (ex. y).
Classifying Functions
Definitions:
- Independent Variable - Associated with the domain of a function. Ex. x
- Dependent Variable - Associated with the range of a function. Ex. f(x)
Functions of Multiple Variables
A function of multiple variables is any function that accepts multiple inputs, generally in the following form:
Some examples of functions of multiple variables include:
Function in 2D Space
A function that deals with only two variables. The result is in the 2D plane. Ex. y=x
Function in 3D Space
A function that deals with three variables. The result is in 3D space. Ex. x + y + z = 0
Types of Functions
Transformations of Functions
Related Topics
- You can use calculus to find the average value of function.