IBHM 673 720.PDF

Answers

Chapter 2

Exercise 1
1
c x , x 8
2

1 a x 4, x 1

b x 3, x –2

2 a x 2, x 5

b x 3, x 8

3 a x 4.73, x 1.27

c x 4, x

b x 0.854, x 5.85

4 a x 5.45, x 0.551

3
2

3
2
d x ,x
2
3

2
e x ,x 3
3

c x 0.314, x 3.19

b x 1.61, x 5.61

Chapter 2

d x 1, x 3

d x 0.260, x 1.54

c x 1.77, 0.566

d x 3.91, x 1.41

Exercise 2

Exercise 2 2:

1 a 1x 12 4

3 2 3
b ¢x ≤
2
4

2 a 1x 32 2 5

Minimum 1 3, 52

2 b 1x 2 2 2 1

Minimum 12, 1 2

2

3 2 11
c ¢x ≤
2
4

e 5¢x

x intercepts: 3,1

5 17
Minimum ¢ , ≤
2
4

2 d 1x 22 2 7

Maximum 1 2, 72

y intercept: 3

x intercepts: 4.65, 0.646

2 e 1x 4 2 2 19

Maximum 14, 19 2

y intercept: 3

x intercepts: 0.359, 8.36

5 2 47
2 f 2¢x ≤
2
2

5 47
Minimum ¢ , ≤
2
2

7
3 2
2 g 4¢x ≤
8
16

3 7
Minimum ¢ , ≤
8 16

5 2 1
2 h 3 ¢x ≤
6
2

Minimum ¢

3 2 23
2 i 2¢x ≤
4
8

5
,
6

y intercept: 2

3 23
Minimum ¢ , ≤
4 8

3 a Minimum 1 1.25, 10.1252
3 b Maximum 12.5, 0.75 2
3 d Maximum (0.833,11.1)

Chapter 2

x intercepts: 3.5, 1
c Minimum 1 0.6, 14.22 y intercept: 16 x intercepts: none

x intercepts: none

b

c

26 x 6 1

Chapter 2

3 q

0, 5
2

Line not
included

8, 0
3

1
5

d x 7 3, x 6 5

j 3 x 2

1
k 8 x
2

3 a x 6 0.764, x 7 5.24

;28

3x 4y 5 0

(5, 0)

0, 5
4

Line not
included
x 2y 5

Line not
included

5, 0
3

y 3x 8

b x 6 2

1 a Imaginary roots

d

(0, 8)

Line not
included

5, 5
2
(0, 5)

2 p

x intercepts: 0.851, 2.35

x intercepts: 1.09, 2.76

y 2x 5

1
4

2
3

Exercise 3

1 a

2 i

x intercepts: 1,

y intercept: 4

y intercept: 7

x intercepts: 0.928, 5.93

x intercepts: none

y intercept: 2

y intercept: 7

y intercept: 9

x intercepts: 4.56,0.438

y intercept: 11

y intercept: 1

1
≤
12

7 2 349
≤
10
100

x intercepts: 0.764, 5.24

y intercept: 4
y intercept: 3

d 31x 1 2 2 11

5
17
2 c ¢x ≤
2
4

2 a x 7

e x 2.14, x 0.468

e x 1.78, x 0.281

c x

b x 6 0.854, x 7 5.85

1
3
f x
2
4
4
1
l 6 x 6
3
2

e 5 6 x 6 6

c x 6 0.157.x 7 1.59

g 3 x

7
2

d 2.14 x 0.468

h x 6 4, x 7 3

e 0.207 x 1.21

Exercise 4
b Real distinct roots
9
8

c Imaginary roots

5 a b 8ab3 16a2b 0
˛

˛

d Real distinct roots

7 p

1
2

9 m

32
9

e Real equal roots
11 a (ii)

b (iii)

f Imaginary roots
c (i)

d (iii)

677