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!
• Relation
• Discrete relation
• Continuous relation
• Domain
• Range
• Function
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Objectives
• F.IF.4,9 (Comparing Functions)
• F.IF.6 (Rates of Change)
• F.BF.3 (Transformations)
make your
notes count
Key words:
Domain
Range
Function
Relationships Around Us…
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Representations of RELATIONS
• Sets of Ordered Pairs
• Mappings
• Table of Values
• Graphs in Coordinate Planes
• Algebraic Statements
{ (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?
Which of the following relations
is NOT a function?
The x-value “2” is paired with
three different y-values. (The
same x-value is listed more
than once.)
Each x pairs with only one y.
(All x values in column are
different.)
8
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.)
10
Which of the following relations
is NOT a function?
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
11 across.
on graph as it moves
{(4,7), (8, 15), (21, 41), (-6, -13)}
• Is this relation a function?
Yes, because all the x-values are unique.
• What is the domain?
D= {-6, 4, 8, 21}
• What is the range?
R= {-13, 7, 15, 41}
• What are the intercepts?
There are NO INTERCEPTS.
B
A
14
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 packet
due _____________
1
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