Relation

A ______ is a set of ordered pairs

Domain

The ______ of a relation is the set of all inputs

Range

The _____ of a relation is the set of all outputs

Input

Each number in a domain

Output

Each number in a range

Function

A _____ is a relation with the property that for each input there is exactly one output

Vertical line test

The _____ says that if you can find a vertical line passing through more than one point of a graph of a relation, them the relation is not a function. otherwise, the relation is a function

Equation in two variables

An equation that contains two different variables

Solution of an equation in two variables

A _____ in x and y is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the equation

Graph of an equation in two variables

The ______ is the set of points in a coordinate plane that represent all the solutions of the equation

Linear equation

An equation whose graph is a line

Function form

An equation solved for y

x-intercept

The x-coordinate of a point where a graph crosses the x-axis

y-intercept

The y-coordinate of a point where a graph crosses the y-axis

Slope

The ratio of the line's vertical change to its horizontal change

Rise

The line's vertical change between two points

Run

A line's horizontal change between two points

Best-fitting line

The line that lies as close as possible to the points in a data set

Function notation

An equation written in _____ uses f(x) to represent the output of the function f for an input of x

System of linear equations

It consists of two or more linear equations with the same variables

Solution of a linear system

A _____ in two variables is an ordered pair that is a solution of each equation in the system.

Linear inequality

A _____ in two variables is the result of replacing the equal sign in a linear equation with <, ≤, >, ≥.

Solution of a linear inequality

It is an ordered pair (x, y) that makes the inequality true when the values of x and y are substituted into the inequality

Graph of a linear inequality

The _____ in two variables is the set of points in a coordinate plane that represent the inequality's solutions

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