Teaching
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learning
Additional mathematics
Form 4
NAME:…………………………………………… FORM :…………………………………………..
Date received
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Date completed …………………………. Marks of the Topical Test : ……………………………..
Prepared by : PN HJH SARIPAH AHMAD Sekolah Menengah Sains Muzaffar Syah Melaka 75450 AYER KEROH MELAKA
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LEARNING AREA : FUNCTIONS Learning Objectives : Understand the concept of relations Learning Outcomes : Student will be able to
1.1 Represent relation using a) arrow diagram , b) ordered pairs, c)graphs 1.2 Identify domain, co domain, object, image and range of a relation.
1.3 Classify a relation shown on the mapped diagram as : one to one many to one , one to many or many to many
1.1a Representing a relation between two sets by using an arrow diagram Example 1 Suppose we have set A = { 0,1,2,3 } and set B = { 0,1,2,3,4,5,6} .Let us examine the relations “is one less than “ from set A to Set B . One way to show the relations is to draw an arrow diagram as shown below . The arrows relate the elements in A to the elements in B
A is one less than
B
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In the space below give other example to show a relation
3 2 1 0 .
FIG 1.1
4 3 2 . 1 •0
A relation from set A to set B is an association of elements of A with elements of B . Exercise 1 1 Two set of numbers, P and Q are shown below Complete the arrow diagram to show the relations “ is grater than “ from set P to set Q P is grater then
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2. What relation from set S to set T is illustrated in diagram below .Write your answer in the box below
Q
10 8 6 1 . .
8 3 2 1
3 2 1 -1 .
6 4 2
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3. Construct an arrow diagram to show the relation “ is a factor of “ from set A ={2,5,7,13 } to set B = {1,4,15,35,40}
4. Construct an arrow diagram to show the relation “ is a multiple of “ from set A ={1,2,3,4,5,6 } to set B = {2,3,5}
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1.1(b) Representing a relation between two sets