Intermediate Algebra (11th edition)

Section 10.1 (pages 577–580)

1.This function is not one-to-one because both France and the

United States are paired with the same trans fat percentage, 11.

3.Yes. By adding 1 to 1058, two distances would be the same,

so the function would not be one-to-one. 5.B 7.A

9. 11.not one-to-one


10. or 15. ,

17.not one-to-one 19.

21. (a) 8 (b) 3 23. (a) 1 (b) 0


22. (a)one-to-one (b) 27. (a)not one-to-one


23. (a)one-to-one (b) 31.


24. 
    
    
    
    35. 
        
    
    
    
    

37.

x

y

0

–2

–2

f –1

f

x

y

0

4

4

f –1

f

x

g y

g–1

0

4

4

x

y f

f –1

0

–1

–1

x

y

0

4

4

1

f–1

f

x

y

0

3

3

f–1

f

xÚ 0 ƒ -^11 x 2 = 23 x+ 4

ƒ -^11 x 2 = g-^11 x 2 =x^2 + 3

1

2

ƒ -^11 x 2 = x- 2

x- 4

2

,

51 6, 3 2 , 1 10, 2 2 , 1 12, 5 26

A-24 Answers to Selected Exercises

Chapters 1–9 Cumulative Review Exercises

(pages 568–569)

[1.1, 8.7]1. (a) 0, 7 (b) , 0, 0.7, 7,

(c)All are real except (c)All are complex numbers.

[2.1]2. [2.7]3. [8.6]4. [7.4]5.

[9.1, 9.2]6. [9.3]7. [2.5]8.

[2.7]9.C2, 38 D [9.7]10. 1 1, 3 2 11. 1 - 2, 1 2

e 5 1,  26 3 1, q 2

7  2177

4

f

E^45 F E^1110 ,^72 F E 32 F 0

2 - 8.

32

• -2, 3
  7


• 2, 3

[3.1, 3.5]12.function;

domain:

range:

[3.4, 3.5]13.not a function

x

y

0

–3

15

4

4 x – 5y < 15

x

y

0

–3

15

4

4 x – 5y = 15

ƒ 1 x 2 =^45 x- 3

1 - q, q 2 ;

1 - q, q 2 ;

[9.5]14.function;
domain:
range:

x

y

1

3 y = –2(x – 1)

(^2) + 3
ƒ 1 x 2 =- 21 x- 122 + 3
1 - q, 3 4 ;
1 - q, q 2 ;
[4.3]19.Microsoft: $60.4 billion; Oracle: $22.4 billion
[5.1]20. 21. [5.4]22.
[5.5]23. [6.1– 6.3]24.

25. 
    
    
    
    26. [7.1]27.
    
    
    
    

[7.2]28. [7.3]29. [8.3]30.

[8.5]31. [9.4]32.southbound car: 57 mi;

eastbound car: 76 mi

INVERSE, EXPONENTIAL, AND LOGARITHMIC

FUNCTIONS

Connections ( page 576) y = f(x) = x (^3) + 2
y = f –1(x)
10
–10
–15 15

10

27 + 25

3234

4

r-s

r

• 8
  x

12 x+ 3 y 214 x^2 - 6 xy+ 9 y^2213 x- 5 y 22 - 185

4 x^2 - 6 x+ 11 + 14 m- 3216 m+ 52

4

x+ 2

4

9 t

(^42) + 12 t+ 81
xy^2
x^8
y^4
[3.2]15. x-intercept:
y-intercept:
[3.3]16. (a)
(b)
[4.1]17.
[4.2]18. 51 3, -4, 2 26
51 1, - 226
y=^25 x+^135
y=-^52 x+ 2
1 - 8, 0 2 ; A0,^167 B
m=^27 ;
x
00
11
42
ƒ 1 x 2
x
0
1
26

• 1


• 2


• 1 - 3

ƒ 1 x 2 39. or

ƒ -^11 x 2 =

1

4

x+

5

4

ƒ -^11 x 2 =

x+ 5

4

,

40.MY GRAPHING CALCULATOR IS THE GREATEST THING

SINCE SLICED BREAD. 41.If the function were not one-to-one,

there would be ambiguity in some of the characters, as they could

represent more than one letter. 42.Answers will vary. For example,

Jane Doe is 1004 5 2748 129 68 3379 129.

43. or 45.


44. 64 49.

Section 10.2 (pages 585–587)

1.C 3.A 5. 7.

1

3

1

3

x

g(x) = x

y

–2 0 2

4

8

12

16

x

y

02

1

ff((xx) = 3) = 3xx

–2

1

2

ƒ -^11 x 2 = ƒ -^11 x 2 = 23 x- 5

1

2

x+

7

2

ƒ -^11 x 2 =

x+ 7

2

,

10

–10

–15 15

f –1

f

10

–10

–15 15

f –1

f