Bellringer - PC\|MACimages.pcmac.org/SiSFiles/Schools/AL/MobileCounty/DavidsonHigh/Uploads/... ·...
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11142016.notebook
J. Millet 1
November 14, 2016
Bellringer November 14, 2016
Solve this system of linear equations. Show work.
2x 3y = 10
3x + 5y = 23
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J. Millet 2
November 14, 2016
Bellringer Answer2x 3y = 10
3x + 5y = 23
x 3
x 2
6x + 9y = 30
6x + 10y = 466x + 9y = 306x + 10y = 46
19y = 76y = 4
2x 3(4) = 102x 12 = 10
2x = 2+12 +12
x = 1(1, 4)Answer:
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J. Millet 3
November 14, 2016
16 RelationsGoal:
Today we will learn how to represent relations. We will also determine if a relation is a function.
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J. Millet 4
November 14, 2016
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J. Millet 5
November 14, 2016
RelationVocabulary
A set of ordered pairs.FunctionA special relation where x is only used once.
Domain
Range
Independent Variable
Dependent Variable
Coordinate PlaneThe plane containing the xaxis and yaxis.MappingOne way to show a relation. Illustrates how each element of the domain is paired with an element in the range.
xcoordinate
ycoordinate
The variable that determines the output. The independent variable is the domain or xcoordinate.
The output, range, or ycoordinate
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J. Millet 6
November 14, 2016
Relation4 Ways to Represent Relations1. Graph
2. Table
3. Ordered Pairs
4. Mapping
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J. Millet 7
November 14, 2016
1. Graph
Graphing is a visual interpretation of where the ordered pairs in a relation are.
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J. Millet 8
November 14, 2016
2. Tablex y
02
4
5
52
341
8
A table is different from a graph because it is not a picture, but a list of the ordered pairs. The xcoordinates are listed in order.
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J. Millet 9
November 14, 2016
3. Ordered Pairs
{(2, 3), (8, 1), (5, 0), (4, 1), (8, 0)}
Ordered pairs are a list of coordinates.
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J. Millet 10
November 14, 2016
4. Mapping
2101
468
Mapping is similar to a table, but lists x only 1 time.
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J. Millet 11
November 14, 2016
Domain Range
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J. Millet 12
November 14, 2016
x y
Domain Range
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J. Millet 13
November 14, 2016
x y
Domain Range
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J. Millet 14
November 14, 2016
x y
Domain Range
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J. Millet 15
November 14, 2016
x y
Domain Range
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J. Millet 16
November 14, 2016
x y
Domain Range
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J. Millet 17
November 14, 2016
Homework
Page 43 1, 2, 9 14
Just do it!