# Pre-Algebra Ch. 8

## 24 terms

### 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