Cambridge International Mathematics

728 ANSWERS

5a bx=¡ 4 ,x=1,

y=0

c x-intercept is 3

y-intercept is^34

d minimum turning

point at

¼(¡ 0 : 742 , 0 :659)

maximum turning

point at

¼(6: 74 , 0 :0607)

6ax¼ 2 : 18 b x¼ 3 : 29 c x¼ 0 : 505

7a¼(¡ 1 : 70 ,¡ 4 :94)and(1: 26 , 1 :98)

b¼(¡ 0 : 63 , 2 :50)and(0: 52 , 3 :76)

8a x f(x) g(x)

¡10 0:833 1: 25

¡ 50 :913 1: 118

01 1

51 :095 0: 894

10 1 : 20 : 8

15 1:315 0: 716

20 1 :44 0: 64

b forf(x):

largest is 1 : 44

smallest is 0 : 833

forg(x):

largest is 1 : 25

smallest is 0 : 64

c

d(0,1) ey=¡ 0 : 01 x+1

9 ¼ 3

EXERCISE 24A

1aScale:

1 cm ́ 10 km/h

bScale:

1 cm ́ 10 m/s

c Scale: 1 cm ́ 10 m

d

Scale: 1 cm ́ 10 m/s

2aScale: 1 cm ́ 15 Newtons

b Scale: 1 cm ́ 15 Newtons

3aScale:

1 cm ́ 20 km/h

b Scale:

1 cm ́ 15 kg m/s

c Scale:

1 cm ́ 10 km

d Scale:

1 cm ́ 30 km/h

EXERCISE 24B

1aa,cande; bandd b a,b,candd

c aandb; candd d none are equal

e aandc; bandd

2ap b¡p c q d¡q er f ¡r

3afalse btrue c false d true etrue

EXERCISE 24C

1a b

cd

ef

2a

¡!

QS b

¡!

PR c

¡!

PQ d

¡!

PS

y

x

x¡=¡-4 x¡=¡1

y¡=¡0

O

3 4

3

(^2) + -
= -
x x
y x
y
-10 20 x
1
g(x)=( 0. 8 )^10 x
f(x)=( 1. 2 )^10 x
O
N
E
S
W
45°
40 km/h
N
W E
S
35 m/s
N
W E
S
30°
120°
25 m
runway
12°
60 m/s
N
W E
S
75 Newtons
N
W E
S
45°
60 Newtons
N
W E
S
45°
60 km/h N
W E
S
45 kg m/s¡ 250°
N
W E
S
10°
90 km/h
N
W E
S
55° 25 km
p q
pq+
p q
pq+
p
q
pq+
q
p
p+q= 0
p
q
pq+
q
p
pq+
IB MYP_3 ANS
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_an\728IB_IGC1_an.CDR Thursday, 20 November 2008 10:18:11 AM PETER