AS-M 8.16 REV F Canada CMYK Layout 1 8/5/2016 1:09 AM Page 1
RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered...
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Transcript of RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered...
![Page 1: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/1.jpg)
RELATIONS AND FUNCTIONS
RELATIONS AND FUNCTIONS
SOL 8.14, 8.16, 8.17
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Vocabulary• Relation: A relation is a set of
ordered pairs.
![Page 3: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/3.jpg)
Relation This chart is a relation because it is a set of ordered pairs.
Relations can be represented in multiple ways, including as ordered pairs, a table, a mapping, or as a graph.
x y
2 5
3 0
-2 8
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Vocabulary• Function: a relation in which each
element of the input (domain) is paired with exactly one element in the output (range) according to a specified rule.
• Each x has only 1 y.
![Page 5: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/5.jpg)
Function• Example:
{(1, 2), (2, 2), (-4, 3), (0, 3)}
is a function because each x value is paired with only 1 y
value.
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Functions• A function can be represented in
several ways, including: a. Ordered Pairs:{(1,2), (-3,1), (0,4), (2, -5)}
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Functions• b. Words: Movie tickets cost $11.00 each.
For each movie ticket bought, it will cost $11.00.
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Relations• c. Table:
X Y
1 2
-2 4
3 0
4 5
![Page 9: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/9.jpg)
Relations• d. Graph:
![Page 10: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/10.jpg)
Vocabulary• Domain: the set of input values
for a function. (x-values)
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Domain• Example:Given the function:
{(1, 5), (2, -3), (3, 0), (4, 2)}
The domain is {1, 2, 3, 4}
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Vocabulary• Range: the set of output values
for a function. (y-values)
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Range• Example:Given the function:
{(1, 5), (2, -3), (3, 0), (4, 2)}
The range is {-3, 0, 2, 5}
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Vocabulary• Linear Equation: an equation
for which the graph is a straight line.
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Linear Equation• Example: y = 2x + 3
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Vocabulary• Function table: a table used to
organize the input numbers, output numbers, and the function rule.
![Page 17: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/17.jpg)
Function TableExample:Given y = 2x + 3, create a function table.
x y = 2x + 3 y or f(x)
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Function TableExample:Given y = 2x + 3, create a function table.
x y = 2x + 3 y or f(x)
-1 y = 2(-1) + 3 1
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Function TableExample:Given y = 2x + 3, create a function table.
x y = 2x + 3 y or f(x)
-1 y = 2(-1) + 3 10 y = 2(0) + 3 3
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Function TableExample:Given y = 2x + 3, create a function table.
x y = 2x + 3 y or f(x)
-1 y = 2(-1) + 3 10 y = 2(0) + 3 31 y = 2(1) + 3 5
![Page 21: RELATIONS AND FUNCTIONS SOL 8.14, 8.16, 8.17. Vocabulary Relation: A relation is a set of ordered pairs.](https://reader035.fdocuments.in/reader035/viewer/2022062715/56649d8b5503460f94a728cf/html5/thumbnails/21.jpg)
Function TableExample:Given y = 2x + 3, create a function table.
x y = 2x + 3 y or f(x)
-1 y = 2(-1) + 3 10 y = 2(0) + 3 31 y = 2(1) + 3 52 y = 2(2) + 3 7
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Vocabulary• Independent Variable: The
independent variable is the input (x) value.
• It is the value that you may choose.
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Vocabulary• Note:If time is an option, it will always be the independent variable.Examples of time: month, day, year, minutes, seconds, hours, etc.
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Vocabulary• Dependent Variable: The
dependent variable depends on the independent variable
• It is the output (y) value.