graf fungsi paper 1

13
y = x2 1 y = 2x 1 2 y x y = x3 1 y O x O x y x x y O y O x y = x 2 y = x2 – 2 y = 2 – x2 x + y = 2 y O x O x y x y O x O x y x 3 y x y = 2 + x3 xy = 4 y = x3 +2 y O x y O x x y O Paper 1 EXERCISE A : Pasangkan graf yang betul dengan fungsi Match each graph with the correct equation of function : 1. 2. 3. O y x

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Page 1: Graf Fungsi Paper 1

y = x2 – 1 y = 2x – 1 2y

xy = x3 – 1

y

O

x O x

y

xx

y

O

y

O

x

y = x – 2 y = x2 – 2 y = 2 – x2x + y = 2

y

O x O x

y

x

y

O x O x

y

x

3y

x y = –2 + x3 xy = –4y = – x3 +2

y

O x

y

O xx

y

O

Paper 1EXERCISE A : Pasangkan graf yang betul dengan fungsi Match each graph with the correct equation of function :

1.

2.

3.

Exercise B : Lakarkan graf yang sesuai / Sketch the given functions :

O

y

x

Page 2: Graf Fungsi Paper 1

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

xO

y

1.

y = x2 + 1 y = 2x + 1 y = x3 + 1

2.

y = x + 3 y = – 3 + x x + y = 4

3.

y = xy = 2 xy = – 1

4.

y = x3 – 3 y = 3 + x3 y = – x2 + 2

Questions Based On Examination Format

Page 3: Graf Fungsi Paper 1

y

O

y

xO

y

xO

x

– 2 – 2

– 2

y

O – 2 x

y

xO

– 5

y

xO

1. Yang mana mewakili graf y = x2 – 2 / Which of the following graphs represents y = x2 – 2 ?

A.B.

C.D.

2. Yang manakah persamaan yang mewakili fungsi kuadratik / Which of the following equations represents the graph of a quadratic function?

A. y = 2 + x2 B. xy = 2 C. x – y = 2 D. y = 2x –2

3. Rajah di bawah menunjukkan lakaran fungsi / The diagram below shows a sketch of a function.

A. y = x2 – 5B. y = – x2 – 5

C. y = x3 – 5D. y = – x3 – 5

4. Yang mana mewakili graf / Which of the following graphs represents ?

A.B.

Ox

y

Page 4: Graf Fungsi Paper 1

y

xOx

y

O

y

xO

5

y

xO 5

y

xO-5

y

xO

5

(–1, k)

x

y

0

16 nxy.

C.D.

5. Which of the following graphs represents y=5−x3 ?

A B

C D

6

Diagram 1

Diagram 1 shows the graph of y=− xn+16 . State the value of n and k.

A. n = –1, k =16 B. n = 3, k =17 C. n = –3, k =16 D. n = 3, k =15

Page 5: Graf Fungsi Paper 1

( h, 0)x

y

0.

8

y

O

x O x

y

xx

y

O

y

O

x

y

O

O x

y

xx

y

O

y

O

x

O

y

x

y = 2x2

G

7

Diagram 2

Diagram 2 shows the graph of y = x3 + k. Find the value of h.

A. 2 B. 3 C. – 2 D. – 3 8. Yang manakah persamaan yang mewakili fungsi bagi graf linear / Which of the following equations represents a linear graph ?

A. y = 1 + x2 B. xy = 4 C. x – y = 2 D. y = 3x –1

9. Yang manakah persamaan yang mewakili graf bagi fungsi salingan / Which of the following equations represents the graph of a reciprocal function?

A. y = 1 + 2x B. y – x = 4 C. x y + 2 = 0 D. y = 3x3

10. Yang manakah mewaklili graf bagi y = x3 – 1 / Which of the following represents the graph of y = x3 – 1 ?

A B C D

11. Which of the following represents the graph of ?

A B C D

12.

x

Page 6: Graf Fungsi Paper 1

x

y

O

y

O

x

y

O

x

y

O

x

Graf yang berlabel G besar kemungkinan mewakili / The graph labelled G most likely represents

A. y = –2x2 B. y = 2x2 – 2 C. x y + 2 = 0 D. y = 2x3

13.

Graf yang berlabel G besar kemungkinan mewakili / The graph labelled G most likely represents

A. y = x – 2 B. y = – x – 2 C. y = – x + 2 D. y = - 2x

14.

Graf yang berlabel G besar kemungkinan mewakili / The graph labelled G most likely represents

A. y =

12 x B. y = – x C. y = x + 2 D. y = 2x

15. Graf bagi / Which of the following represents the graph of ?

A B C D

G

xO

y y = x

G

xO

yy = x + 2

Page 7: Graf Fungsi Paper 1

xO

y

O x

y

O x

y

Ox

y

x

y

O

x

y

O

x

y

O

16

4-4

16. Graf bagi / Which of the following represents the graph of ?

A B C D

17.

Rajah menunjukkan graf y = - 4xn . Cari nilai n / Diagram shows the graph of y = - 4xn. Find the value of n

A. 2 B. 3 C. – 1 D. – 2

18.

Graf di atas mewakili / The above graph represents

A. y = - x + 2 C. y = 2 – x 2

B. y = 6x D. y = − 6

x

19.

Page 8: Graf Fungsi Paper 1

y

xO

y

xO

Graf di atas mewakili / The above graph represents

A. y = – x2 + 16 C. y = (x + 4)2

B. y = x2 + 16 D. y = 16 – (x+4)2

20. Yang mana TIDAK mewakili linear graf / Which of the following does NOT represent a linear graph ?

A. y = x B. x = 2y C. xy = 2 D. y = – 2 1 Nov 2003, Q12 Which of the following graphs represents y = x2 – 3 ?

A. B.

C D.

2 Nov 2004, Q29

Which of the following graphs represents ?

A.B.

Page 9: Graf Fungsi Paper 1

y

xO

– 3

y

O

y

xO

x

– 4 – 4

C.D.

3 July 2005, Q28 Diagram 12 shows a sketch of a function.

What is the equation of the function?A. y = x2 – 3B. y = – x2 – 3 C. y = x3 – 3 D. y = – x3 – 3

4 Nov 2005, Q28 Which of the following graphs represents y = x2 – 4 ?

A.B.

Page 10: Graf Fungsi Paper 1

C.D.

5 July 2006, Q27

Which of the following graphs represents y = −1

4

A. B.

C. D.

6 Nov 2006, Q28

Which of the following graphs represents y = 10 – 2x3?

A. B.

Page 11: Graf Fungsi Paper 1

y

x0 5

y

x0

5

C. D.

7 Jun 2007, Q 30

Which of the following graphs represents y = – 5x3 ?

A. B

C D

8 Nov 2007, Q 28

Which of the following graphs represents y = − x2 + 5 ?

A B

y

x0– 5

0

x

– 5

y

0 x0 x

yy

Page 12: Graf Fungsi Paper 1

y

x0

5

y

x0 5

y

x0–3

6

y

x0–3

–6

y

x0

–3

6

y

x0

–3

–6

y

x0–2 1

y

x0 2 –1

C D

9 Jun 2008, Q 29

Which graph represents y = 1

2x − 3 ?

A B

C D

10 Nov 2008, Q 27

Which graph represents y = − x2 − x + 2 ?

A B

Page 13: Graf Fungsi Paper 1

y

x0–1 2

y

x0–2 1

C D

ANSWERS

Questions Base On Examination Format

1. A 2. A 3. B 4. D 5. C 6. D 7. C 8. C 9. C 10. D

11. C 12. B 13. C 14. A 15. B 16. D 17. C 18. B 19. A 20. C

Past-Year Questions

1 B2 D3 D4 A5 C6 B7 B8 B9 B10 C