Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Lesson 5 (PH Text 4.6): Formalizing Relations and Functions
Objectives: To determine whether a relation is a function
To find the domain and range of a relation and use function notation
Relation­ is a set of one or more ordered pairs
Domain­ is the set of all first elements or x­coordinates ( x­ values ) – the set of all possible input values
Range­ is the set of all second elements or y­coordinates ( y­ values ) – the set of all possible output values Jan 27­7:49 AM
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Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Functions are often described using a domain and a range.
If the domain = {2, 5, 6, 12}, what is the range? range = {___, ___, ___, ___}
Jan 27­7:51 AM
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Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Identify the domain and range of each relation. Represent the
relation with a mapping diagram. Is the relation a function?
a.) {(4.2, 1.5), (5, 2.2), (7, 4.8), (2, 0)}
b.) {(-1, -), (-2, 2), (4, -4), (7, -7)}
Jan 27­7:52 AM
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Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Jan 27­7:54 AM
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Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Jan 27­8:07 AM
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Lesson 5 Formalizing Relations and Functions.notebook
1)
February 01, 2016
State the relation specified in the table below as a set of ordered pairs. State the domain and range of this relation.
x
y
­1
0
0 1.5
1
3
Jan 27­8:07 AM
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Lesson 5 Formalizing Relations and Functions.notebook
February 01, 2016
Given the domain {­2, 0, 1} of the relation 2x + y = ­1, determine the range. Graph the results.
Jan 27­8:09 AM
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