Ordered Pair

A pair of numbers that give the location of a point on a x and y grid. for example graph (3, 2)

Cartesian coordinate plane

a coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system

Quadrant

A section of the Cartesian coordinate plane, their are four of them.

Relation

A set of ordered pairs

Domain

The independent values of a set. Often the x values

Range

The dependent values of a set. Often the y values

Function

For each input there is one output. For each independent value there is one dependent value. For each x value there is only one y value. NOTE: There can be functions that have the same dependent value for different independent values such as y = 6.

Mapping

The relationship used to create a set of ordered pairs. Example: twice the independent is the dependent. (1,2) (3,6)...

One-to-One Function

a function where each element of the range is paired with exactly one element of the domain.

Vertical Line Test

A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation

Independent Variable

A variable whose variation does not depend on that of another

Dependent Variable

The outcome factor; the variable that may change in response to manipulations of the independent variable.

Function Notation

A way to name a function that is defined by an equation. In function notation, the equation y = 3x-8 is written as f(x) = 3x-8

Linear Equation

An equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant. The graph is a line.

Linear function

A function in which the graph of the solutions forms a line

Standard Form

Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative

y-intercept

where the line crosses the y axis (0,b)

x-intercept

where the line crosses the x axis (a,0)