Dependent Quantity
The quantity that depends on another in a problem situation
Independent Quantity
The quantity that the dependent quantity depends on
Relation
The mapping between a set of input values and a set of output values
Domain
The set of input values
Range
The set of output values
Function
A relation between a given set of elements, such that for each element in the domain there exists exactly one element in the range
Vertical Line Test
A visual method used to determine whether a relation represented as a graph is a function
Discrete Graph
A graph of isolated points
Continuous Graph
A graph of points that are connected by a line or smooth curve on the graph.

They have no breaks.

Function Notation
A way of representing functions algebraically. This form allows you to more efficiently identify the independent and dependent quantities. f(x) is read "f of x".
Increasing Function
A function where the dependent variable increases as the independent variable increases over the entire domain
Decreasing Function
A function where the dependent variable decreases as the independent variable increases over the entire domain
Constant Function
A function where the dependent variable of a function does not change over the entire domain
Function Family
A group of functions that share certain characteristics
Linear Functions
Functions of the form f(x)=mx+b, where m and b are real numbers
Exponential Functions
Functions of the form f(x)=ab^x, where a and b are real numbers and b is greater than 0 but not equal to 1
Absolute Minimum
The y-coordinate that is less than the y-coordinates of every other point on the graph
Absolute Maximum
The y-coordinate that is greater than the y-coordinates of every other point on the graph