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24 terms

Pre-Algebra Ch. 8

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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