Intermediate Algebra (11th edition)

25.domain: range:

Chapters 1–3 Cumulative Review Exercises

(pages 206 –207)

[1.1]1.always true 2.never true 3.sometimes true; For example,

but. [1.2]4. 4 [1.3]5.0.64

6.not a real number [1.4]7. 8.

[1.3]9. [1.1]10. [1.3]11. 12.undefined

[2.1]13. 14. [2.4]15.6 in. 16.2 hr

[2.5]17.

18.

[2.6]19.

20.

[2.7]21. 22.

[3.1]23. intercept: -intercept:

[3.2]24. (a) (b) [3.4]25.

[3.3]26. (a) (b)

27. (a) (b) [3.5]28.domain:
    range: not a function; 75 in the
    domain is paired with two different values, 70 and 56, in the range.
    [3.6]29. (a)domain: range: (b) (c) 1
    [3.2]30. ; The per capita consumption of potatoes in the United
    States decreased by an average of 2.02 lb per yr from 2003 to 2008.

SYSTEMS OF LINEAR EQUATIONS

Connections ( page 219) (1) ;

(2)y=-x+ 4 ; 51 3, 1 26

–10–10

–10–10 1100

1010

y=^23 x- 1

4

• 2.02

1 - q, q 2 ; 1 - q, q 2 22

5 14, 91, 75, 23 6 ; 5 9, 70, 56, 5 6 ;

y=- 34 x + 37 4 x+ 3 y= 7

y=- 43 x- 1 3 x+ 4 y=- 4

x

y

0

3

–6

–2x + y < – 6

5

• 6
  6
  5

3 x + 5y = 12

(^04)
y
x
12
5
x- 1 4, 0 2 ;y A0,^125 B
5 0, 7 6 1 - q, q 2
–2 0 7
1 - q, - 24 ́ 1 7, q 2
086
1 6, 8 2
01
1 - q, 1 4
–3 0 4
7
2
A-3,^72 B
E^76 F^5 -^16

-^1921 - 3, 5 4 - 39

4 m- 3 2 x^2 + 5 x+ 4

3 + 1 - 32 =0, 3 + 1 - 12 = 2 Z 0

x

y

0

–1^3

f(x) =^23 x – 1

1 - q, q 2 ; 1 - q, q 2

Answers to Selected Exercises A-9

41.D 42.domain: range:

; not a function 43.domain:

9, 11, 4, 17, 25 ; range: 32, 47, 69, 14 ; function

44.domain: range: ; function 3 - 4, 4 4 ; 3 0, 2 4

5 6 5 6

5 2,-2, 5, - 56

5 - 4, 1 6 ;

45.domain: range: not a function 46.function;
domain: linear function 47.not a function; domain:

48.function; domain: 49.function; domain:

50.not a function; domain: 51.function;

domain: 52. 53. 54.

55. 
    
    
    
    56. ; 18 57.C 58. (a)yes
    
    
    
    

(b)domain: 1960, 1970, 1980, 1990, 2000, 2009 ; range: 69.7, 70.8,
73.7, 75.4, 76.8, 78.1 (c)Answers will vary. Two possible answers are

1960, 69.7 and 2009, 78.1. (d)73.7; In 1980, life expectancy at
birth was 73.7 yr. (e) 2000 59.Because it falls from left to right, the

slope is negative. 60. 61. ; 62. 63.

64. 
    
    
    
    65. 
        
        
        
        66. 
            
        
        
        
        
    
    
    
    


65. 
    
    
    
    68. 
        
        
        
        69. 
            
            
            
            70. 
                
            
            
            
            
        
        
        
        
    
    
    
    

Chapter 3 Test (pages 205 –206)

[3.1]1. 2.

3.none; 4. none

[3.2]5. 6.It is a vertical line. 7.perpendicular 8.neither

9. farms per yr; The number of farms decreased, on the average,

by about 929 each year from 1980 to 2008. [3.3]10. (a)
(b) 11. (a) (b) 12. (a)

(b) 13. (a)not possible (b)

14. (a) (b) 15. (a)

(b) 16.B 17. (a) (b)$61,947;
It is more than the actual value.

[3.4]18. 19.

[3.5]20.D 21.D 22.domain: range:

23.domain: range: [3.6]24. (a) 0
(b)-a^2 + 2 a- 1

5 0, -2, 4 6 ; 5 1, 3, 8 6

3 0, q 2 ; 1 - q, q 2

x

y

0

3

y < 2x – 1

and

x – y < 3

x

y

0

–3

2

3 x – 2y > 6

x+ 2 y=- 3 y= 2078 x+51,557

y=- 53 x-^1153 x+ 5 y=- 11 y=- 21 x- 23

x+ 2 y= 4 x= 5

5 x+y= 19 y= 14 y= 14 y=- 21 x+ 2

y=- 5 x+ 19

• 929

1

2

x

y

0 2

x = 2

1 2, 0 2 ;

x

y

0 5

(^5) y = 5
1 0, 5 2
0
y
x
3 x – 2y = 20
–10
20
3

-^103 ; -2; 0 A^203 , 0B; 1 0, - 102

E^73 F A 37 , qB A-q, 37 B

7

(^03)
ƒ 1 x 2 =- 23 x+^72 -^172 x=^233

-^32 - 23 23 A^73 , 0B A0, 27 B

1 2 1 2

6

5 6 5

• 2 k^2 + 3 k- 6 ƒ 1 x 2 = 2 x^2

1 - q, 6 2 ́ 1 6, q 2 - 6 - 8.52 - 8

C- 47 , qB^3 0, q^2

1 - q, q 2 1 - q, q 2

1 - q, q 2 ;

1 - q, 0 4 ; 1 - q, q 2 ;

37. 
    
    
    
    38. 
        
        
        
        39. 
            
        
        
        
        
    
    
    
    


38. 
    

x

y

(^0) x 2
or
y 2
x
y
0
2 x + y ≤ 1
and x ≥ 2 y
x
y
5 x – y > 6
x 0
y
3 x – 2y ≤ 12
0