Sewanhaka High School Mrs. Lidowsky, Principal

Math 8 Mr. Long, Teacher

Class:______Date:______

Name:______

H.W. #30: Ditto

DO-NOW #30: Answer the following questions:

1) List the relation represented by the table below, which shows the number of miles Mr. Shorty has driven at different hours as ordered pairs. Identify the domain and range of the relationship. Represent the relationship as a mapping diagram.

Hours / 1 / 2 / 3 / 4 / 5
Miles / 60 / 100 / 160 / 210 / 270

Domain: { }

Range: { }

DOMAIN (input) RANGE (output)

Topic: Functions

Main Idea: Function

Aim:

RECALL
/
NOTES
Cities: (St. Louis, New York, Chicago) Baseball Teams: (White Sox, Mets, Cards, Cubs, Yankees)
Based on the previous information, develop a mapping diagram of Cities to Baseball Teams. / DOMAIN (input: Cities) RANGE (output: B.T.)
Based on the previous information, develop a mapping diagram of Baseball Teams to Cities.
/ DOMAIN (input: B.T.) RANGE (output: Cities)
Which mapping diagram has one and only one element in the range for each element in the domain, BT to Cities or Cities to BT?
DEFINITION: / The relation of baseball teams to cities is called a function because every element in the domain has one and only one element in the range. (HINT for students: Make sure there is only one arrow coming from each element in the domain. If there is more than one arrow, then it is not a function.)


Recall Notes

Develop the following relation into a mapping diagram: (1, 72), (2, 60), (3, 72), (4, 68), (5, 80) / DOMAIN (input) RANGE (output)

Determine if the previous relation: (1, 72), (2, 60),
(3, 72), (4, 68), (5, 80) is a function.
Identify the domain and range of the following relation and then develop it into a mapping diagram:
(2, 32), (4, 59), (5, 65), (5, 69), (7, 96). Is the relation a function? / DOMAIN (input) RANGE (output)
What if I gave you the domain of {1, 2, 3} and said to use the rule, D: “is less than or equal to”. What would your range be? List the ordered pairs that make this problem true and develop it into a mapping diagram. Is the relation a function?

Drill: Answer the following questions. Show work.

Age (in years), (x) / 1 / 2 / 3 / 4 / 5
Length (in inches), (y) / 23 / 36 / 47 / 61 / 73

1) List the relation represented by the table below, which shows one alligator’s length at different ages as ordered pairs. Identify the domain and range of the relationship. Represent the relationship as a mapping diagram. Is the relation a function?

Domain:

Range:

DOMAIN (input) RANGE (output)

Summary: