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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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
11142016.notebook
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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16 RelationsGoal:
Today we will learn how to represent relations. We will also determine if a relation is a function.
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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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Relation4 Ways to Represent Relations1. Graph
2. Table
3. Ordered Pairs
4. Mapping
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1. Graph
Graphing is a visual interpretation of where the ordered pairs in a relation are.
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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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3. Ordered Pairs
{(2, 3), (8, 1), (5, 0), (4, 1), (8, 0)}
Ordered pairs are a list of coordinates.
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4. Mapping
2101
468
Mapping is similar to a table, but lists x only 1 time.
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Domain Range
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x y
Domain Range
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x y
Domain Range
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x y
Domain Range
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x y
Domain Range
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x y
Domain Range
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Homework
Page 43 1, 2, 9 14
Just do it!
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