General
Mathematics
Jan Inah Pave D. Suyo
SPECIAL SCIENCE TEACHER I
Grading scale
Written Work
25%
Performance
Tasks
Quarterly
Assessment
Total
50%
25%
100%
General Mathematics
- Is an introductory, basic, exploratory course in
which the simple and significant principles of
arithmetic, algebra, intuitive geometry, statistics,
and numerical trigonometry are taught so as
emphasize their natural and numerous
interrelations.
Functions
Objectives:
a. define functions and relations;
b. distinguish vertical line test;
c. represent real-life situations using
functions, including piecewise functions.
Questions:
It is the set of first coordinates.
Range
Domain
Abscissa
Questions:
It is the set of first coordinates.
Range
Domain
Abscissa
Questions:
It is the set of second coordinates.
Range
Domain
Abscissa
Questions:
It is the set of second coordinates.
Range
Domain
Abscissa
Questions:
Find the domain and range of the given
ordered pairs.
{(1,-1), (2,-3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)}
Questions:
Find the domain and range of the given
ordered pairs.
{(1,-1), (2,-3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)}
Domain
Range
Questions:
Find the domain and range of the given
ordered pairs.
{(1,-1), (2,-3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)}
Domain {-1, 0, 1, 2, 4}
Range
Questions:
Find the domain and range of the given
ordered pairs.
{(1,-1), (2,-3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)}
Domain {-1, 0, 1, 2, 4}
Range
{-5, -4, -3, -1, 3, 5}
Relation
- Is a rule that values from a set of
values (called the domain) to a set
of values (called the range).
- It is a set of ordered pairs.
Functions
It is a relation in which each
element of the domain
corresponds to exactly one
element of the range.
Functions can be represented in
different ways.
1 Table of values
2 Ordered Pairs
{(-2,10), (-1,-7), (0,-4), (1,-1, (2,2)}
Functions can be represented in
different ways.
3 Graph
4 Equation
y = 3x – 4
Which of the following relations
are functions?
f = {(1,2), (2,3), (3,5), (4,7)}
g = {(1,3), (1,4), (2,5), (2,6), (3,7)}
h = {(1,3), (2,6), (3,9)}
Which of the following relations
are functions?
f = {(1,2), (2,3), (3,5), (4,7)}
g = {(1,3), (1,4), (2,5), (2,6), (3,7)}
h = {(1,3), (2,6), (3,9)}
Mapping Diagram
Mapping Diagram
Vertical Line Test
A graph represents a function
if and only if each vertical line
intersects the graph at most
once.
Example
Equation
QUIZ
Directions: Identify a Function
and Not a Function.
Write Function or Not Function
Directions: Identify a Function
and Not a Function.
1.d = {(1,3), (-1,4), (-2,3), (-2,1), (3,7)}
2.h = {(-1,3), (8,0), (2,5)}
3.l = {(-5,1), (11,-4), (5,-5), (2,-6), (-2,7)}
Directions: Identify a Function
and Not a Function.
4.
1
3
6
7
-1
4
-5
7
5.
6.
-2
32
-6
9
14
-3
8
21
-1
-5
4
6
-4
-10
1
Directions: Identify a Function
and Not a Function.
7.
8.
9.
Let’s check your
answers!
Directions: Identify a Function
and Not a Function.
1.d = {(1,3), (-1,4), (-2,3), (-2,1), (3,7)}Not a Function
2.h = {(-1,3), (8,0), (2,5)} Function
3.l = {(-5,1), (11,-4), (5,-5), (2,-6), (-2,7)} Function
Directions: Identify a Function
and Not a Function.
4.
1
3
6
7
Function
-1
4
-5
7
5.
6.
-2
32
-6
9
14
-3
8
Function
21
-1
-5
4
6
-4
-10
1
Not a Function
Directions: Identify a Function
and Not a Function.
7.
8.
Function
9.
Not a Function
Function
Assignment: (1/2 cw)
Provide five (5) real-life situations that
make an example of a functions.