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Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
DO NOWWrite down 3 ways you would know that a vending machine is not functioning properly (not working).
Algebra 10/16/17Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Relations and FunctionsRelation a set of ordered pairs
x y 1 3 2 5 3 7 4 9 5 11 8 17
Domain (x) the set consisting of all first elements in the ordered pair
Range (y) the set consisting of all second elements in the ordered pair
123458
Mapping
35791117(1,3) (2,5) (3,7) (4,9)
(5,11) (6,13) (8,17)
Ordered Pairs
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Graphic OrganizerAlert!
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
is it a function?
Function
Relation
Map Diagram Vertical Line Test
Output
RangeDomain
Input
Functionnotation
Function Rule
In/Out Table
The set of all xvalues (inputs) of a relation The set of yvalues
(outputs) of a relation
A set of ordered pairs
A diagram that connects each member of the domain to the member of the range
1
0
2
11
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Ex. 1 What is the domain and range of the relation { (0, 1), (1, 1), (1, 2) } ?
Ex. 2 What is the domain and range of the relation?
1
0
2
11
Question: What do you notice about these two relations?
Together
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Lots of machines perform functions
Cash Register ScreenInput Output
Pineapple Juice $1
Red Bull $2
Apple Juice $1
Burger $5
Fries $3
Onion Rings $3
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Functioning or Not?
Input OutputE4
C6
E7
E5
E4
E7E5
C6
Domain Range
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Functioning or Not?
Input Output
E4
E1
E0
D5
E4
E1E0D5
Domain Range
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Functioning or Not?
Input OutputE4
E4
E4E5
E4E5
Domain Range
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Functioning or Not?
Input OutputE4
E5
E1
E7
E4
E7E5
E1
Domain Range
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Input Output
E4
C6
E7
E5
Input Output
E4
E1
E0
D5
Input Output
E4
E5
E1
E7
E4E5
Domain Range
Domain Range
Input Output
E4
E4
E4
E5
E4
E7E5
C6
E4
E7E5
E1
E4
E1E0D5
Domain Range
Domain Range
Domain Range
Domain Range Domain Range
Domain Range
Write down why we said the third one was NOT functioning.
1) 2)
3) 4)
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Function is a relation in which each element of the domain corresponds to one and only one element of the range
(no ordered pair has the same first element)I. Using a map diagram
domain range domain range
5681012
5612
Function or Not? Function or Not?
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
{ (0, 1), (1, 1), (1, 2) } ?
1
0
2
11
Was this relation a function?
Discuss with Your Partner
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
{ (11, 2), (12, 1), (13, 2), (20, 7) } Is this relation a function?
Domain Range Domain Range
{ (2, 1), (1, 0), (6, 3), (2, 1) } Is this relation a function?1) 2)
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
{ (11, 2), (12, 1), (13, 2), (20, 7) } Is this relation a function?
Domain Range Domain Range
{ (2, 1), (1, 0), (6, 3), (2, 1) } Is this relation a function?1) 2)
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
is it a function?
Function
Relation
Map Diagram Vertical Line Test
Output
RangeDomain
Input
A relation where each input (domain) has exactly one output (range)
The set of all xvalues (inputs) of a relation The set of yvalues
(outputs) of a relation
A set of ordered pairs
A diagram that connects each member of the domain to the member of the range
1
0
2
11
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Summary Exit Slip In your own words, explain what the conditions must be present for a relation to be considered a function. Write one example of a function.
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
Get a head start on your Homework!!!
mathsims.wordpress.comLesson Slides, Resources and More!
Aim: What is the Difference Between a Relation and a Function?HW: Functions vs. Relations Worksheet
Algebra 1 Unit 2 Day 1 Relations vs Functions.notebook October 16, 2017
is it a function?
Function
Relation
Map Diagram Vertical Line Test
Output
RangeDomain
Input
Functionnotation
Function Rule In/Out Table
Why We Care:
