Bell Ringer: copy vocabulary• Vocabulary: you will look up and define. You are responsible for knowing by test day. Put words on your

Bell Ringer sheet and keep you sheet from this week. You all earned participation for this week already!

• RelationRelation• Discrete relationDiscrete relation

• Continuous relationContinuous relation• DomainDomain• RangeRange

• FunctionFunction1

Look up as I

complete textbook

distribution

Just write words

Objectives

• F.IF.4,9 (Comparing Functions)

• F.IF.6 (Rates of Change)

• F.BF.3 (Transformations)

make your notes count

3

Relationships Around Us…Key words:DomainRangeFunction

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Representations of RELATIONS

• Sets of Ordered Pairs• Mappings

• Table of Values• Graphs in Coordinate Planes

• Algebraic Statements

4

{ (2, 3), (-1/2, 4), (2.1, 0)}

y = x2 - 5

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Definition of FUNCTION• A FUNCTION is a specialized RELATION,

with the stipulation that each domain element (typically designated by “x”) is paired with one and only one element from the range (typically designated by “y” or by “f(x)”.

• Example of a relation that is a function: {(2,3), (-2,3), (4,1)}

• Example of a relation that is NOT a function: {(2,3), (4,3), (4,1)}

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Graph• (2, -1)• (1, 0)• (0, 1)• (-1, 2)• (0, 3)• (1, 4)• (2, 5)

What are the intercepts?

What is the domain?

What is the range?

Is the RELATION a FUNCTION?

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Which of the following relations is NOT a function?

Each x pairs with only one y. (All x values in column are different.)

The x-value “2” is paired with three different y-values. (The same x-value is listed more than once.)

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Which of the following is NOT a function?

The x-value “1” is mapped to two different y-values.

Each x pairs with only one y. (Only one arrow coming out of each x-value.)

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Which of the following relations is NOT a function?

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Each x pairs with only one y. (Line only touches one point at time as it moves across.)

There are x’s paired with more than one y. (Line touches more than one point on graph as it moves across.

{(4,7), (8, 15), (21, 41), (-6, -13)}

• Is this relation a function?

• What is the domain?

• What is the range?

• What are the intercepts?

Yes, because all the x-values are unique.

D= {-6, 4, 8, 21}

R= {-13, 7, 15, 41}

There are NO INTERCEPTS.

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B

A

Which is NOT a function?

Explain why.

What is the domain of each relation?

What is the range of each relation?

What are the intercepts?

Assignment

Group work / activity

Analyzing Functions Analyzing Functions packet

due _____________19