CHAPTER 5 RELATIONS AND FUNCTIONSsshs216felix.weebly.com/uploads/2/2/1/6/22164320/... ·...
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5.2Properties of Functions.notebook 1 April 29, 2014 CHAPTER 5 RELATIONS AND FUNCTIONS SECTIONS 5.1 TO 5.5 IN TEXTBOOK Interpret and explain relationships among data, graphs, and word problems. Develop an understanding of relations and functions. Use function notation to represent a linear function. RF1,RF2, RF9
Transcript of CHAPTER 5 RELATIONS AND FUNCTIONSsshs216felix.weebly.com/uploads/2/2/1/6/22164320/... ·...
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CHAPTER 5 RELATIONS AND FUNCTIONS
SECTIONS 5.1 TO 5.5 IN TEXTBOOK
Interpret and explain relationships among data, graphs, and word problems. Develop an understanding of relations and functions.
Use function notation to represent a linear function.
RF1,RF2, RF9
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Lesson 1 5.2a Identifying Functions
Review Master 5.1a
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A set is a collection of distinct objects.
Element:
Definitions:
An element is one object in a set.
Set:
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A relation connects the elements of one set with the elements of another set.
What is a Relation?
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Connections or relations can be expressed in a number of ways:
• ORDERED PAIRS• ARROW DIAGRAM• TABLE
Associate the vehicle with the number of wheels it has.
Vehicle WheelsBicycle 1Car 2Motorcycle 3Tricycle 4Unicycle
1. Ordered Pairs (Bicycle, 2), (Car, 4), (Motorcycle, 2),(Tricycle,3),(Unicycle,1)
2. Arrow Diagram
Two ovals represent the sets. Each arrow associates an element of the first set with an
element of the second set.
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Vehicle Number of Wheels
bicycle 2
car 4
motorcycle 2
tricycle 3
unicycle 1
3. Table
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Representing an arrow diagram in 2ways...
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When listing the elements of the domain and range, each element is only recorded once.
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Remember
A relation is a function WHEN:
In a set of ordered pairs, each ordered pair has a different first element.
In a table, all elements in the first column are different.
In an arrow diagram, there is exactly ONE arrow from each element in the first set.
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Independent Variable:These values are listed in the first column of a table of values. These elements form part of the domain.
Dependent Variable:These values are listed in the second column of a table of values. These elements form part of the range.
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End of Lesson Identifying Functionsp. 270 # 4,5 8 and 10.
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5.2a Describing Functions
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Using mental Math what would be the value for V(8) for Machine A? $2.00
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For Machine B, determine q when M(q) = 13.2 q = 3; 3 quarters have a
mass of 13.2 g.
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End of Lesson 5.2b Describing Functions
p. 271 # 9,11 and 12.
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Lesson 5.2 c Using Function Notation
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For Machine B, determine q when M(q) = 13.2 q = 3; 3 quarters have a
mass of 13.2 g.
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For Machine B, determine q when M(q) = 13.2 q = 3; 3 quarters have a
mass of 13.2 g.
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When we name a function that is related to a context, we often use a letter that reminds us of the context; for example, C for cost, V for volume, M for mass, and A for area.
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End of lesson
P.272 # 1417.
Go to Smart 5.2 sample Q&A
