LESSON1_REPRESENTATIONS OF FUNCTIONS AND RELATIONS.pptx

General
Mathematics
Hannae Alyza P. Domingo
Teacher II

Logic
If you have 50 pesos, then
you want to buy a bananaque
worth 10 pesos each, how
many pieces of bananaque
can you buy with the money
you have?

Logic
If Jose can eat 10 burgers in
a day, how many burgers can
he eat in 10 days?

Picture
Analysis
PAGASA (dost.gov.ph)

Picture
Analysis Philippine Population Forecasts

Synthesize& Correlate the Idea
•Do x and yare
useful in our daily lives?

Lesson 1
Representations of
Functions and
Relations
MELC: represents real-life
situations using functions

1. ORDERED PAIRS
Representation of Relation & Function
Example 1. Which of the following relations are functions?
FUNCTION
FUNCTION
RELATION

1. ORDERED PAIRS
DOMAIN
RANGE
x-values
y-values

1. ORDERED PAIRS
FUNCTION
FUNCTION
RELATION

2. TABLE OF VALUES
Example 2. Is this relation a function?
FUNCTION

3. MAPPING DIAGRAMS
Example 3. Which of the following represent functions?

3. MAPPING DIAGRAMS
Example 3. Which of the following represent functions?
FUNCTION FUNCTION RELATION
One-to-One One-to-Many
Many-to-One

4. GRAPHRS
Example 4. Which of the following can be graphs of functions?
RELATION

4. GRAPHRS
FUNCTION

4. GRAPHRS
VERTICAL LINE TEST
A graph represents a
function if and only
if each vertical line
intersects the graph
at most once.

Any questions,
comments or
suggestions?

• A relation is a rule that relates values from a
set of values (called the domain) to a second
set of values (called the range).
• A relation is a set of ordered pairs (𝑥, 𝑦).
DEFINITION
RELATION

• A function is a set of ordered pairs (𝑥, 𝑦) such
that no two ordered pairs have the same x-
value but different y-values.
DEFINITION
FUNCTION

• The domain of a relation is the set of all
possible values that the variable x can take.
DEFINITION
DOMAIN

• The range is the set of all possible values that
the variable y can take.
DEFINITION
RANGE
RANGE

• A graph represents a function if and only if
each vertical line intersects the graph at
most once.
DEFINITION
VERTICAL LINE TEST

Can you find
RELATION-ships of
our lesson to your
everyday lives?

The number of toothbrush
to the number of family
members is a FUNCTION

Name of your mother to
each siblings of your
family is a RELATION

Name of students to your
math teacher is a
FUNCTION

Depending on the Loyalty
Kasi pag may IBA(kabit) si
bf RELATION na yun 

1. It is a set of ordered pairs (𝑥, 𝑦)
such that no two ordered pairs
have the same x-value but
different y-values?
LEARNING ACTIVITY: RELATION-ships
A. FUNCTION
B. RELATION
C. DOMAIN
D. RANGE

2. The _____ of a relation is the
set of all possible values that the
variable x can take.
A. FUNCTION
B. RELATION
C. DOMAIN
D. RANGE

3. A graph represents a function if
and only if each vertical line
intersects the graph at most
_____.
A. ONCE
B. THRICE
C. TWICE
D. ALL OF THESE

4. Which of the following set of
ordered pairs in NOT a function?
A. (1,2),(2,3),(3,4),(4,5)
B. (1,2),(1,3),(3,6),(4,8)
C. (1,1),(2,2),(3,3),(4,4)
D. (3,2),(4,2),(5,2),(6,2)

5. Which of the following diagram
represents a relation that is NOT
a function?
A.
B.
C.
D.

6. For which values of k is the
set of order pairs (2,4), (𝑘,6),
(4,0 ) a function?
Solution: All real numbers,
except 2 and 4.

7. Can you write a table of
values which represents
function?

8. Can you write a three set of
ordered pairs, two of these
represent function and the
other one represents
relation?

9. Can you write a three set of
ordered pairs that two of
these represent function
and the other one
represents relation?

10. Can you draw a graph
which represents a
function? Then, explain.

Thank You for your
participation! I hope you
do more next time!

LESSON1_REPRESENTATIONS OF FUNCTIONS AND RELATIONS.pptx

More Related Content

What's hot

Similar to LESSON1_REPRESENTATIONS OF FUNCTIONS AND RELATIONS.pptx

Recently uploaded

LESSON1_REPRESENTATIONS OF FUNCTIONS AND RELATIONS.pptx

Editor's Notes