Intermediate Algebra (11th edition)

[3.1]10. [3.4]11.

[3.2, 3.5]12. (a)yes (b)3346.2; The number of travelers increased
by an average of 3346.2 thousand per year during 2003–2008.

[3.3]13. [4.1, 4.4]14.

[4.2, 4.4]15. [4.3]16.6 lb [5.4]17.

18. [5.2]19.

[5.5]20. [6.1]21.

[6.2]22. 23.

[6.3]24. 25.

26. [5.1]27. [7.1]28.

[7.2]29. [8.3]30. [8.4]31.

[8.6]32. [8.7]33. 41 [9.1, 9.2]34.

[9.7]35. [9.3]36.

[9.5]37. [10.2]38. 39.

[10.3]40. [10.4]41.

[10.6]42. (a)25,000 (b)30,500 (c)37,300 (d)in about 3.5 hr,
or at about 3:30 P.M.

NONLINEAR FUNCTIONS, CONIC SECTIONS,

AND NONLINEAR SYSTEMS

Section 11.1 (pages 640–641)

1.E; 0; 0 3.A; 5.B; It does
not satisfy the conditions of the vertical line test. 7.B 9.A

1 - q, q 2 ; 5 Á, -2, -1, 0, 1, 2,Á 6

11

3 log x+^12 log y-log z

xx

yy

44 88

22

44

–3–3

00

ff((xx) = log) = log 33 x

5 - 16

xx

yy

22

22

44

88

–2–2

ff((xx) = 2) = 2xx

00

x

y

0

2

1

f(x) = (^13 x – 1)^2 + 2

1 - q, - 42 ́ 1 2, q 2 5 1,  26

u

1  213

6

5 0, 4 6 v

1222 - 2722

• 3 k- 19
  1 k+3)(k- 22

x+ 5

x+ 4

• 
  

1875 p^13

8

14 r+ 7 q 22

14 a+ 5 b^2214 a- 5 b^2212 c+d 214 c^2 - 2 cd+d^22

13 y- 2218 y+ 32 z 15 z+ 121 z- 42

2 t^3 + 5 t^2 - 3 t+ 4 x 18 +x^22

16 k^2 - 24 k+ 9 - 5 m^3 + 2 m^2 - 7 m+ 4

51 1, -1, 4 26 6 p^2 + 7 p- 3

y= 43 x-^19451 4, 2 26

x

y

0

5

• 4

–4x + y Ä 5

x

y

02

5

5 x + 2y = 10

Answers to Selected Exercises A-27

11.domain: ;

range:

13.domain: ;

range: 1 - q, 1 2 ́ 1 1, q 2

1 - q, 0 2 ́ 1 0, q 2

3 0, q 2

1 - q, q 2

x

y

–3 0

3

f(x) = ⏐x + 1⏐

x

y

2

02

f(x) =^1 x+ 1

15.domain:

range:

17.domain: ;

range: 1 - q, 0 2 ́ 1 0, q 2

1 - q, 2 2 ́ 1 2, q 2

3 0, q 2

3 2, q 2 ;

x

y

(^02)
2
f(x) = √x – 2
x
y
0
2
f(x) =x – 2^1
23.Shift the graph of to the right 3 units and up 2 units.

25. 3 27. 4 29. 0 31. 33.


26. 
    
    
    
    37. 
        
        
        
        39. 
            
        
        
        
        
    
    
    
    

41.$2.75 43. 45.

Connections ( page 646)

y 2 =- 1 - 236 - 1 x- 322

y 1 =- 1 + 236 - 1 x- 322 ,

225 21 x-h 22 + 1 y-k 22

• 14 - 11

g 1 x 2 =

1

x

19.domain: ;

range:

21.domain: ;

range: 3 1, q 2

1 - q, q 2

3 - 3, q 2

3 - 3, q 2

x

y

–3

–3

0

f(x) = √x + 3 – 3

x

y

0

1

3

f(x) = x – 3 + 1

0 x

3

3

y

–3

–3

f(x) = x  – 1

x

y

1

0

2

3

4

5

12345

Weight (in ounces)

Number of Stamps

0 x

1

(^25)
y
–1
–3
f(x) = [[x – 3]]
10
–10
–15 15

Section 11.2 (pages 647–650)

1. (a) (b) 5 (c) 3.B 5.D


2. 
   
   
   
   9. 11.center: ; 13.center: ;
      15.center: ;
   
   
   
   


3. 
   
   
   
   19. 21.center:
   
   
   
   

23.center: 25.center:

27.The thumbtack acts as the center and the length of the string acts as

the radius.

1 2, 3 2 1 - 3, 3 2

1 - 3, 2 2

1 2, 4 2 r= 4

1 - 2, - 32 r= 2 1 - 5, 7 2 r= 9

1 x+ 422 + 1 y- 322 = 4 1 x+ 822 + 1 y+ 522 = 5

1 0, 0 2

x

y

0 5

5

x^2 + y^2 = 25

x

y

0

3

3

3

x^2 + y^2 = 9

x

y

0

2 y^2 = 10 – 2x^2

√ 5

x

y

0

–3^2

3

(x + 3)^2 + (y – 2)^2 = 9

x

y

3

02

2

x^2 + y^2 – 4x – 6y + 9 = 0

x

y

0

3

–3

3

x^2 + y^2 + 6x – 6y + 9 = 0