Cambridge Additional Mathematics

468 Answers

3a(2x+ 3)(2x+6) b(2x+ 4)(2x¡5)

c (3x+ 2)(3x+7) d(3x+ 5)(3x¡1)

e(5x+ 2)(5x¡1) f (7x¡4)(7x¡3)

4a 2 n b 10 a c 3 b d

1

5 n

e 5 x

f (^34 )a g 5 h 5 n

5a 3 m+1 b1+6n c 4 n+2n d 4 x¡ 1

e 6 n f 5 n g 4 h 2 n¡ 1 i^12

6an 2 n+1 b¡ 3 n¡^1

EXERCISE 4F

1ax=3 bx=2 c x=4 dx=0

ex=¡ 1 fx=^12 gx=¡ 3 hx=2

i x=¡ 3 j x=¡ 4 kx=2 l x=1

2ax=^53 bx=¡^32 c x=¡^32 dx=¡^12

ex=¡^23 fx=¡^54 gx=^32 hx=^52

i x=^18 j x=^92 kx=¡ 4 l x=¡ 4

m x=0 nx=^72 ox=¡ 2 px=¡ 6

3ax=^17 b has no solutions c x=2^12

4ax=1 b x=2 c x=1

dx=^54 e x=2 f x=¡^97

5ax=3 b x=2 c x=2

dx=2 e x=¡ 2 f x=¡ 2

6ax=1or 2 b x=1 c x=1or 2

dx=1 e x=2 f x=0

EXERCISE 4G

1a 1 : 4 b 1 : 7 c 2 : 8 d 0 : 4

2ax¼ 1 : 6 bx¼¡ 0 : 7 c x¼ 2 : 1 dx¼¡ 1 : 7

3 y=2x has a horizontal asymptote ofy=0

4a 2 b 54 c^29

5ag(0) = 3, g(¡1) =^115 ba=2

6a b

cd

7a b

cd

8a i iiDomain:fx:x 2 Rg

Range:fy:y> 1 g

iii y¼ 3 : 67

iv Asx!1,y!1

Asx!¡1,y! 1 from above

v y=1

bi iiDomain:fx:x 2 Rg

Range:fy:y< 2 g

iii y¼¡ 0 : 665

iv Asx!1,y!¡1

Asx!¡1,y! 2 from below

v y=2

ci iiDomain:fx:x 2 Rg

Range:fy:y> 3 g

iii y¼ 3 : 38

iv Asx!1,y! 3 from above

Asx!¡1,y!1

v y=3

di iiDomain:fx:x 2 Rg

Range:fy:y< 3 g

iii y¼ 2 : 62

iv Asx!1,y! 3 from below

Asx!¡1,y!¡1

v y=3

9aP 0 =50

bi 100 possums

ii 400 possums

iii 1600

possums

d 8 years

c

x

y

y=2 +1x

y=1

2

O

x

y

1

O

y=2

y=2-2x

x

y

y=3

4

O

y=2-x+3

x

y

2

O

y=3

y=3-2-x

x

y

1

-1

1

O

y=2 -2x

y=2x

y=-2

x

y

1

O

y=2x

y=2-x

x

y

Qr 1

O

y=2x

y=2x-2

x

y

1

2

O

y=2*2x

y=2x

x

y

1

O

y=3x

y=3-x

x

y

2

1

O

y=3 +1x

y=3x

y=1

x

y

y=3x

y=-3x

1

-1

O

x

y

y=3x

1 y=3x-1

O Qe

0 246810

500

1000

1500

50

(10 1600),

(6 400),

(2 100), n(years)

P_(n)

P_(n) = 50 * 20.5n

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\468CamAdd_AN.cdr Tuesday, 8 April 2014 8:32:10 AM BRIAN