Unit 9 Functions and Relations Relations Functions Relations

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Unit 9: Functions and Relations

Unit 9: Functions and Relations

Relations & Functions

Relations & Functions

Relations & Functions Relation

Relations & Functions Relation

Relations & Functions Relation – a set of ordered pairs

Relations & Functions Relation – a set of ordered pairs

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain range

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain Function range

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain range Function – relation where each x has only one y value

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain range Function – relation where each x has only one y value

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain range Function – relation where each x has only one y value Note: Each y can have more than one x value!

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers)

Relations & Functions Relation – a set of ordered pairs (a relationship between numbers) ordered pairs – (x, y) domain range Function – relation where each x has only one y value Note: Each y can have more than one x value!

Representations of Relations Consider the relation: {(1, 2), (-2, 4), (0, -3)} Is this

Representations of Relations Consider the relation: {(1, 2), (-2, 4), (0, -3)} Is this relation a function? ? YES, because each OUTPUT (Y), has only one INPUT (X)

Example 1: Determine whether the following relation is a function and give the domain

Example 1: Determine whether the following relation is a function and give the domain and range. Function: Domain: Range: YES

Example 2: Determine whether the following relation is a function and give the domain

Example 2: Determine whether the following relation is a function and give the domain and range. Function: Domain: Range: NO

#1 on Worksheet Determine whether the following relation is a function and give the

#1 on Worksheet Determine whether the following relation is a function and give the domain and range. •

Example 3: Graph each relation and find the domain and range. Then determine whether

Example 3: Graph each relation and find the domain and range. Then determine whether the relation is a function. A. {(-2, 1), (-1, ), (0, 1), (-1, 1)} Function: Domain: Range:

Example 3: Given the graph, write each relation and find the domain and range.

Example 3: Given the graph, write each relation and find the domain and range. Then determine whether the relation is a function. B. Relation: Function: Domain: Range:

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