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
