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Relation

A ______ is a set of ordered pairs

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Domain

The ______ of a relation is the set of all inputs

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Range

The _____ of a relation is the set of all outputs

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Input

Each number in a domain

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Output

Each number in a range

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Function

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

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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

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Equation in two variables

An equation that contains two different variables

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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

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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

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Linear equation

An equation whose graph is a line

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Function form

An equation solved for y

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x-intercept

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

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y-intercept

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

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Slope

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

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Rise

The line's vertical change between two points

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Run

A line's horizontal change between two points

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Best-fitting line

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

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Function notation

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

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System of linear equations

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

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Solution of a linear system

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

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Linear inequality

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

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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

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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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