module 11 graph of functions pmr

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MATHEMATICS

FORM 3

MODULE 11

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GRAPHS OF FUNCTIONS

MINISTRY OF EDUCATION MALAYSIA

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MODULE 11: GRAPHS OF FUNCTIONS Arahan:

1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam

bahasa Inggeris.

2. Modul merangkumi tujuh konstruk yang diuji

K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris

3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.

4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan

pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan

yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 15 halaman bercetak

D A B C E

3

1 When the relationship between two variables is linear, the graph of the function

representing the relationship is a straight line. Which of the following is not a linear function?

A B

C D

2 In the function y = x + 2, x is the independent variable. Determine the independent variable in the function y = 3q _ 5

A 3

B _5

C p

D q

3 In an algebraic equation of y = 2x 2 + 5, y is a dependent variable. State the dependent variable in the equation of p = 2m 3 + 5, A 2

B 6

C m

D p

y y

y y

x x

x x

4

4 The graph of the function y = 5x + 7 intersect the y-axis at 7 as shown below. Which of the following graphs is the function of y = 5x + 10

A B C D

5 The graph of the function y = x 3 _ 8 intersects the y-axis at ( 0 , _ 8 ), whereas the graph of the function y = x 3 _ 5 intersects the y-axis at A (0 , 5)

B (0 , 3)

C (0 , _ 3)

D (0 , _ 5)

7

x

y

0

10

x

y

0

5

x

y

0

y

10 x0 5 x0

y

5

6 Which of the following is a linear function?

A y = x 3

B y = x 2

C y =

x1

D y = x

7 Given that y = 2x + 3, which of the following is the independent variable?

A 2

B 3

C x

D y

8 In the function y = 3x, the value of y depends on the value of x. The letter y is called the

A constant

B coefficient

C dependent variable

D independent variable

9 The intersection point of the y-axis and x-axis is known as the

A origin

B distance

C midpoint

D quadrant

6

10 A plane which consists of x-axis and y-axis is called

A Cartesian plane

B horizontal plane

C vertical plane

D coordinate

11 The graph shows the function of y = 2x n + 3. What is the value of n ?

A _1

B 1

C 2

D 3

y

x0

7

12 Which of the following represents the graph of y = ax 3 + b ?

A B C D

13 The diagram shows a graph of a function. Which of the following is the equation of the graph ?

A y = _x + 2

B y = _x 2 + 2

C y =

x1

+ 2

D y = x 3 + 2

y

x

y

0

y

x0

x0

y

x0

y

x

2

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14 Which of the functions does not represent a straight line ?

A y = 3x 2

B y = _2x + 3

C y = 2x + 3

D y = 3x _ 2

15 Which of the following can be used to describe a relationship between two variables?

I Ratio

II Equation

III Ordered pair

IV Table of values

A I, II, III

B I, III, IV

C II, III, IV

D I, II, III, IV

16 Which of the following is true for the function y = 2x 2 + 4 when x = _3 ?

A y = 2 ( 9 ) + 4

B y = 2 ( 6 ) + 4

C y = 2 ( _6 ) + 4

D y = 2 ( _9 ) + 4

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17 The Cartesian plane shows a graph of a straight line. What is the value of x when y = 2 ?

A 4

B 3

C 2

D 1

18 The graph of the function y = x 3 _ 8 intersects the y-axis at

A (0 , _8)

B (0 , 8)

C (8 , 0)

D (_8 , 0)

x0

1 2 3 4

1 2 3 4

•

y

10

19 The diagram shows the graph of the function y = – 2x – 6 on a Cartesian plane.

Find the value of k.

A 6

B 2

C _ 2

D _ 6

20 The diagram shows the graph of the function y = 2x + 4.

What are the coordinates of the point where the graph intersect with x-axis ?

A (0, -2)

B (-2, 0)

C (0, 4)

D (4, 0)

y

x0

k

y

x0_2

4

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21 Given the function 12−= 2xy , find the value of y when x = – 3.

A _3 B _6 C _18 D _21

22 The point (2, 4) satisfies the function

A 12 += xy B xy 23 −= C 23 −= xy D 54 += xy

23 Given (k, 0) lies on the graph of function .xy 84 −= The value of k is

A _8 B _2 C 2 D 4

24 Which of the following points does not lie on the straight line x.y 32 −=

A (1, -1) B (2, 4) C (0, 2) D (-3, -7)

25 Which of the following represents 9?3 +−= xy

A

C

B

D

x

y

3

6 0

x

y

9

3 0

x

y

6

3

x

y

9

6 0

0

12

All questions from number 26 to number 30 must be answered in words.

26 Explain what is the meaning of function.

27 Explain how to draw the graph of a function.

28 What is the meaning of variable?

29 What is a dependent variable?

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30 Describe the shape of the graph for the function 8−= xy

From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer.

31

A 11 B 10 C 0 D -1

32

A 12 −= xy B 1−= xy C 23xy = D 12 +−= xy

14

33

A

C

B

D

34

A _ 14 B _ 6 C 6 D 14

x _2 1

y r q

x

y

0 x

y

0

x

y

0 x

y

0

15

35

A xp += 4 B xp −= 4 C

xp

4=

D xp 4=

END OF QUESTION PAPER

16 17

18

19

20

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

21 22

23

24

25

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

26 27

28

29

30

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK

GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH

SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

5152

53

54

55

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

5657

58

59

60

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4647

48

49

50

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

4142

43

44

45

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

31 32

33

34

35

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

36 37

38

39

40

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

1 2

3

4

5

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

6 7

8

9

10

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

11 12

13

14

15

A B C D E

A B C D E

A B C D E

A B C D E

A B C D E

Konstruk No. Soalan Jumlah Soalan

Bilangan Soalan Gagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10

1-5

6-10

11-15

16-20

21-25

26-30

31-35

5

5

5

5

5

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 11