Section 9.1

1. x-intercept = 0,2 , y-intercept= 4,0

3. x-intercept = 0,0 , y-intercept = 0,0

5. x-intercept =

0,

2

1, y-intercept = 2,0

7. x-intercept = 0,14 ,y-intercept = 2,0

9. x-intercept =

0,

4

1 , y-intercept =

2

1,0

11. x-intercept = 0,8 , y-intercept = 4,0

13. x-intercept = 0,8 , y-intercept = 12,0

15. x-intercept =

0,

8

21 , y-intercept =

2

21,0

17. 2m 19. 1m 21. 5

1m

23. undefinedm 25. 4

1m 27.

78

49m

29. 3m

31. 2

1m

33. 3

2m

35. 5

7m

37. 3

1m

39. 3

2m

41. 4

5m

43. 2m

45. 52 xy 47. 3

7

3

2 xy 49.

5

16

5

3 xy 51. 237 xy

53. 9

13

9

19 xy 55.

3

1

3

2 xy 57. 225 yx 59. 293 yx

61. 213 yx 63. 976 yx 65. 7829 yx 67. 132 yx

69. 14

1 xy , 44 yx 71.

2

3

2

1 xy , 32 yx 73. 2

3

1 xy , 63 yx

75. xy 3 , 03 yx 77. 102

5 xy , 2025 yx

Section 9.2

1. a. Function b. Not a Function c. Function d. Function

4,3,6,0,2:D 3,2,1: D uoieaD ,,,,: 4321 ,,,: xxxxD

1,2,5,0,1: R 7,0,1:R UOIEAR ,,,,: 21 ,: yyR

3. a. Yes b. Yes c. No d. Yes

5. Yes 7. Yes 9. Yes 11. Yes 13. Yes

15. a. –1 b. 2 c. –4 d. –7 17. a. 0 b. 10 c. 0 d. 1

19. a. 3 b. 3 c. 5 d. 32 a 21. a. –1 b. ½ c. 1 d. 1

12

t

t

23. a. 1 b. 2 c. 14 n d. 144 ba 25. a. 1 b. –3 c. ||2 tt d. |2|42 tt

27. a. 0 b. 12 apple c. 12 a 29. a. 5 b. u32 c. 13 x d. –3

31. a. tt 23 b. 253 2 tt c. tttt 211123 234 d. 136 kx

33. a. 132 2 xx b. 6148 2 xx c. 2352 xx d. 324 hx

35. a. cba 2

b. cbbaaa 22

c. cbbaaa 244 22

d. bahax 2

37. a. 2x b. 22 2

1

mnmn c.

234 2

1

ttt d.

22

2

hxx

hx

39. a. 12

2

x

x b.

n

n 1 c. x d.

11

1

xhx

41. a. x b. 3223333 kkxxkxkx c. 22 33 kxkx

43. a. 0 b. 12224233 223223 hxhxhxhxhhxx c. 22433 22 hxhxhx

Section 9.3

1. ,:D

,:R

3. ,:D

,:R

5. ),0[: D

),0[: R

7. ,:D

,:R

9. ,:D

),0[: R

11. ,:D

),2[: R

13. ,:D

),2[: R

15. ,:D

),0[: R

17. ,:D

,:R

19. ,:D

),0[: R

21. ,:D

,

256

2187:R

23. ,:D

),0[: R

25. ,00,:D

,00,:R

27. ,:D

),0[: R

29. ]0,(: D

]2,(: R

31. a.

b.

c.

d.

e.

f.

33. yes 35. yes 37. No 39. No 41.

,

2

1:D

43. ,:D 45. ,:D 47. ,00,22,:D

49. ),4[: D 51. ]2,(: D 53.

2

5,:D

55. ,44,:D 57. ,22,22,:D

59. ]0,(: D 61.

,11,

2

1:D 63. ,1:D

Section 9.4

1.

shift up 3 units

3.

reflection about x-axis

5.

Shift left 3 units

7.

Reflection about x-axis

Shift down 2 units

9.

reflection about y-axis (no effect on graph)

11.

Shift left 1 unit

13.

Shift 4 units right

15.

Reflect about x-axis

Shift down 2 units

17.

Shift left 3 units

Shift up 1 unit

19.

Reflection about x-axis

Shift right 2 units, up 3 units

21.

Reflect about the x-axis

Reflect about the y-axis

Shift right 2 units

Shift 1 unit up

23.

Reflect about x-axis

Shift left 2 units

Shift down 3 units

25.

Shift Right 2 units

Shift up 3 units

27.

Reflection about x-axis

Shift down 4 units

29.

Reflection about x-axis

Left 3 units

Down 4 units

31.

Reflection about x-axis

Shift left 1 unit

Shift up 3 units

33.

Reflection about x-axis

Shift right 3 units

Shift up 1 unit

35.

Shift right 2

1 Unit

Shift down 1 unit

37.

Shift left 1 unit

Shift up 4

1 unit

39.

Reflection about x-axis

Shift right 3

1 unit

Shift down 3

2 unit

41.

Reflection about x-axis

Shift 1 unit left

Shift up 2

1unit

43. a.

0,1

1,3

b.

2,0

1,2

c.

2,1

1,3

d.

4,2

3,5

45. a.

2,5

1,9

b.

2,2

3,6

c.

2,2 1,6

d.

49. 2 xxf

(4,3)

(1,0)

(5,-1)

51. 1

1

xxg

53. 11 xxh

55. 112 xxf

57. 122

1 2 xxf

59. 3332 xxf

Section 9.5 1. a. 1 b. 1 c. 1 d. 1 3. a. 0 b. 0 c. 0 d. 1 5. a. -1 b. 10 c. -7 d. 5 7. a. 1 b. -1 c. 1 d. 0 9. a. 1 b. -3 c. 1 d. -4 11. a. -5 b. -7 c. 0 d. not defined 13. a. 1 b. -4 c. 3 d. ⟦𝑎 − 1⟧ 15. a. 0 b. -4 c. 0 d. ⟦𝑥 + ℎ − 1⟧

17. 𝑓(𝑥) = {𝑥 + 1 𝑖𝑓 𝑥 ≥ −1

−𝑥 − 1 𝑖𝑓 𝑥 < 1 19. 𝑓(𝑥) = {

2𝑥 𝑖𝑓 𝑥 ≥ 0−2𝑥 𝑖𝑓 𝑥 < 0

21. 𝑓(𝑥) = {2𝑥 − 1 𝑖𝑓 𝑥 ≥

1

2

−2𝑥 + 1 𝑖𝑓 𝑥 < −1

2

23. 𝑓(𝑥) = {1 − 4𝑥 𝑖𝑓 𝑥 ≥

1

4

−1 + 4𝑥 𝑖𝑓 𝑥 <1

4

25. 27.

29. 31.

33. 35.

37. 39.

41. 43.

45.

Section 9.6

1. 1 3. 242 xx 5. 1

7. 2424 22 hhahaa 9. 12

1222

abba

ab 11. 1

13. 2

1x

x 15.

1

1

x

x 17.

a

a 2

19. x 21. 11 2 xx 23. x

xx 23

25. x

x 22 2 27. 112 xx 29.

2

3 xx

31. 22 33. 95 35. 121

37. 1336 2 xx 39. 49 x 41. 2

1

43. 2 45. 2 47. 2x

x

49. x 51. 3 53. 3

55. 1|12| t 57. 7a

59. 2484464 24322234 bbababababaa

61. 1 hx 63. 1x 65. 144 2 xx

67. 12 x 69. 24 24 xx

Section 9.7

1.

ba

ba

ba

77

4747

3.

ba

ba

ba

3

1

3

1

4

1

3

1

4

1

3

1

5.

ba

ba

ba

11

11

7.

ba

ba

ba

33

33 22

9.

ab

ab

ba

11

1

1

1

1

11. No

13. Yes 15. No 17. xxgf , xxfg

19. xxgf , xxfg 21. xxgf , xxfg

23. xxgf , xxfg 25. xxgf , xxfg

27. xxgf , xxfg 29. xxgf , xxfg

31. 7

41 x

xf 33. 4

331 xxf 35. 241 xxf

37. 21 xxg 39. 231 xxg 41. 31 4 xxg

43. 2

41 x

xg 45. x

xh11

47. 111

xxh 49. 1

3

11

xxh 51.

2

323

1 x

xf

53. x

xxf

2

21 55. 1

11

x

xxg 57. 4

1

7

8 x

xh

59.

14

12

1

xxf 61. 3 31 2 xxf 63.

2

11

xxf

65. 3

1

2

1

xxh

67. 69.

71. 73.

75. 21 1 xxf ),1[: D 77. 121 xxf ),0[: D

79. 241 xxf ),0[: D 81. 11 xxf 83. 21 xxf

Section 9.8

1. $30; $50 3. $3250; 6 computers 5. 85.73 board feet; 166.69 board feet

7. 6 teams; 45 games 9. 2 seconds 11. 9.7-ft; 67.2-ft

13. 1.11 sec; 3.24-ft 15. $50; $480; Yes

17. wwwA 32)( 2 ; 14 2m ; 3m by 9m 19. lllA 2; 90 sq ft; 5 ft by 4 ft

21. 2

23 2 bbbA

; 42.5 sq yd; base 4 yd, height 14 yd

23. 2

33

6

SSV ;

3

2 25. 225 wwwA ; 66 sq yd; 2 yd by 23 yd.

27. 4

2CCA ; 24.20

64yd

; ydC

2

1

29. 4

2llA ; 227.1

4in

; 1 in 31.

2

500 2xxxA

; 31250 sq ft; impossible

33. 2

3400 2xxxA

; 10650 sq ft; shorter side 20 ft, longer side 170 ft

35. 2250 xxxA ; 252 sq yd; longer side of 20 yd shorter sine of 10 yd

37. 3 cm 39. 23.75 lbs 41. 25.3 lbs/in2 43. 6.4 ft 45. 2.6 in

47. 675 units 49. 6.4 hrs 51. 4 in 53. 146.7 lbs 55. 30 amps

57. 2250 lbs 59. 9.75 cm 61. 10 ft/sec