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Relations & Functions
Ordered PairAn ordered pair is a set of 2 numbers, x and y, also known as coordinates of a point on a graph(x,  y)
Coordinate PlaneQuadrant IQuadrant IIQuadrant IIIQuadrant IV
(+, +)(-, +)(+,-)(-, -)
RelationAny set of ordered pairs(-2, 8), (-1, 7), (-1, 6),(7, 6)
FunctionAny set of ordered pairs in which NO x value is repeated.(-2, 8), (-1, 7), (0, -1),(7, 6)* y values can be repeated
Graphical RepresentationsOf a function or relation
Set Notation  Ordered Pairs{(-2,3),(0,-3),(2,-4),(7,0)}*ordered pairs encompassed by braces
Table of Values
Mapping Diagramxf(x)-2-107-1367
Graph
The vertical line testIn order to use the vertical line test, you must first plot the points on a coordinate plane.  If you can draw a vertical line through each of the data points, and each line passes through EXACTLY one point, then the relation is a function.
Using the vertical line test.This is a function.This is NOT a function.yyxx
DomainThe set of x values in a relation or function.In the relation:{(-2,3),(0,-3),(2,-4),(7,0)}the domain is  {-2, 0, 2, 7}
RangeThe set of yvalues in a relation or function.In the relation:{(-2,3),(0,-3),(2,-4),(7,0)}the range is  {-4, -3, 0, 3}
Function Notationf(x)Represents the function evaluated at xRead f of x
Function Rule An equation that represents a functionf(x) = 6x  2 g(x) = -2x + 4
Synonyms for Domain  Domain
  Input
  x
  Independent variableSynonyms for Range  Range
  Output
  y
  Dependent variableWrap Up:Write your answers on your worksheet
What is a relation?
What is a function?
What are the 4 graphical representations of a function?

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Relations & Functions