Sewanhaka High School
Math 8
Class:______________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
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.
Domain: {
}
Hours
1
2
3
4
5
}
Miles
60 100 160 210 270 Range: {
DOMAIN (input)
RANGE (output)
2)
Topic: Functions
Main Idea: Function
Aim:
RECALL
NOTES
Cities: (St. Louis, New York, Chicago)
Baseball Teams: (White Sox, Mets, Cards, Cubs,
Yankees)
DOMAIN (input: Cities)
RANGE (output: B.T.)
Based on the previous information, develop a
mapping diagram of Cities to Baseball Teams.
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
Develop the following relation into a mapping diagram:
(1, 72), (2, 60), (3, 72), (4, 68), (5, 80)
Notes
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.
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?
Age (in years), (x)
1 2 3 4 5
Length (in inches),
(y)
23 36 47 61 73
Domain:
Range:
DOMAIN (input)
Summary:
RANGE (output)