PPT for math 8

1. RELATION

2. FUNCTION

3.  PROCESS QUESTIONS:
 1. WHAT COMES IN YOUR MIND HEARING THE WORD RELATION?
 HOW WILL YOU DESCRIBE A RELATION IN LIFE OF A PERSON?

4. { (2 , 5), (3 , 6), (4 , 7), (5 , 8, (6 , 9)}
 X = { 2, 3, 4, 5 , 6 }
 Y = { 5, 6, 7, 8 , 9 }

5.  The domain of a relation is the set of all first coordinates of ordered pairs ( x values) .
 The range of the relation is the set of all second coordinates of ordered pairs ( y values)
 The four representations of a relation:
 Mapping Diagram

1
2
3
4
5
2
4
6
8
10

6.  Table of values
X Y
1 2
2 4
3 6
4 8
5 10
Graphing
Rule : y is twice the value of x or
y = 2x

7. Function is a special relation in which
every element in domain is
paired/mapped to exactly one element
in the range. Thus, a set of ordered
pairs is a function if no two distinct
ordered pairs have equal abscissas.

8. Types of Function
 Injective or one to one function – each element of set A paired with exactly one element of set B.
 Example
Justine
Kyle
Jaylou
Kian
Cristylin
Althea
Rozee
Karyl

9. Many to one function – maps to one or
more elements of Set A to same
element in Set B
Heizel
Nina
Althea
Krisha
Carla
With
honors

10. Given the ordered pairs:
( 0, 6), ( 1,5 ), ( 2, 4), (3, 3), ( 4, 2), ( 5, 1)
 Determine the domain
 Determine the range
 Make a table of values
 Draw a mapping diagram
 Draw a graph
 State the Rule
Assessment for Learning

11. Evaluation!