Pre-Algebra Ch. 8

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Created by:

carolynp1010 Plus on July 5, 2012

Subjects:

Math (Pre-Algebra)

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Pre-Algebra Ch. 8

Relation
A ______ is a set of ordered pairs
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Definitions

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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