Graf Fungsi II ( Graph of Functions II )1. spm 03

b)

(c.i. y = -2.2, ii. x = -1.2,

d. y = -2x 3, x = 0.85, -2.35 )

2. spm 04

( c. i. y = 7, ii. x = 2.6 , -0.5

d. y = -5x + 20 , x = 3.15 )

3. spm 05

b)

(c.i. y = 19 , ii. x = 4.7,

d. y = 2x + 7, x = -1.6 , 3.1 )

4. spm 06

b)

( c. i. y = 8.2 , ii. x = -1.9 ,

d. y = 2x + 5 , x = 2.45 )

5. spm 07

b)

d)

( c. i. y = 2.5 , ii. x = -1.55 ,

d. y = -8x , x = -2.35 , -0.8 )

6. spm 08

b)

d)

( c. i. y = 12.8 , x = 7.2 ,

d. y = -x + 14 , x = 3.4 , 10.6 )

7. spm 09

a) Lengkapkan Jadual12 di ruang jawapan bagi persamaan y = 4 - 9x + x 3 dengan menulis nilai-nilai y apabila x = -1

dan x = 2. [2markah]

b) Untuk ceraian soalan ini, gunakan kertas graf yang disediakan pada halaman 21. Anda boleh menggunakan

pembaris fleksibel.

Dengan menggunakan skala 2 cm kepada 1 unit pada paksi-x dan 2 cm kepada 5 unit pada paksi-y,

lukis graf y = x 3 - 9x + 4 untuk -3 < x < 4.

c) Menggunakan grafyang dilukis di 12(b), cari

i) nilai y apabila x = -25,

ii) nilai x apabila y = 20.

d) Lukis satu garis lurus yang sesuai pada graf anda untuk mencari nilai-nilai x yang memuaskan persamaan

x 3 - 15x + 4 = 0 bagi -3 < x < 4. Nyatakan nilai-nilai x itu. [4 markah]

( c. i. y = 11 , ii. x = 3.7 ,

d. y = 6x , x = 0.25 , 3.75 )

8. spm 10

(a) Complete Table 12 in the answer space on page 22, for the equation y = 8 - 3x - 2x2 by writing down the

values of y when x = - 4 and x = 1.

(b) For this part of the question, use the graph paper provided on page 23. You may use a flexible curve rule.

By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of

y = 8 - 3x - 2x2 for -5 ( x ( 3 and -27 ( y ( 9.

(c) From the graph in 12(b), find

(i) the value of y when x = - 24,

(ii) the positive value of x when y = -11.

(d) Draw a suitable straight line on the graph in 12(b) to find the values of x which satisfy the equation

5 - 8x - 2x2 = O for -5 ( x ( 3 and -27 ( y ( 9. State these values of x. [4 marks]

9. a) Complete Table below in the answer space for the equation y = 9 + 3x - 2x 2 by writing down the value of y

when x= -2 and x = 1.

(b) For this part 0 the question, use the graphpaperprovided on the next page. You may use ajlexible

curverule. By using a scale of 2 cmto llJl1it on the x~axis and 2 em to 5 units on the y-axis, draw

the graph of y = 9 + 3x - 2x 2 for 3 ( x ( 4.

(c) From your graph, find

(i) the value of y when x = 1.3,

(ii) the values of x which satisfy the equation 9 +3x - 2x2 = 0 .

(d) Draw a suitable straight line on your graph to find a value of x which satisfy the equation

y = - 2x2 - 2x + 19 for 3 ( x ( 4. State these values of x.

( c. i. y = 9.5 , ii. x = -1.5 , 3.15 ,

d. y = 5x 10 , x = 2.7 )

10. (a) Complete Table below in the answer space for the equation y= -x3 + 2x + 8 by writing down the value of

y when x = -2and x = 3.

(b) For this part 0 the question, use the graph paper provided on the next page. You may use a flexible curve

rule.

By using a scale of 2 em to 1 unit on the x-axis and 2 em to 10 units on the y-axis, draw the graph of

y= -x3 + 2x + 8 for 4 ( x ( 4.

(c) From your graph, find

(i) the value of y when x = 1.5,

(ii) the value ofx wheny = 20.

(d) Draw a suitable straight line on your graph to find a value of x which satisfy the equation x 3 = 8x 4

for 4 ( x ( 4. State these values ofx.

36