EP 3.1
1. 6 2. -6
3. Non-real 4. -4
5. Non-real 6. -3
7. 0.5
8. 1 4 9. 1 3
10. √643 = 4
11. 3√27= 3
12. 65 = 7776
13. 84 = 4096
14. 103 = 1000 15. 4√2401= 7
16.4𝑥
17.𝑥4𝑦9 18. 3𝑦2 19.8𝑏24
20.𝑥2𝑦3
21. 𝑦4 22. 𝑘3
23. (𝑥 + 3)
24. (𝑥 + 1)2 25. √73 4 26. √62 3 27. √26 1 28. √83 4 29. √643 2 30. √812 1 31. √5𝑦2
32. √𝑥4 3 33. √𝑦3 1 34. √𝑥3 4 35. √𝑦5 3 36. √𝑎3 7𝑏7
EP 3.2
1.Domain: [2, ∞)
Range: [0, ∞)
2.
Domain: [−2, ∞)
Range: [−1, ∞)
3.
Domain: [3, ∞)
Range: [4, ∞)
4.
Domain: [0, ∞)
Range: [0, ∞)
5.
Domain: [−4, ∞)
Range: [−2 ∞)
6.
Domain: [0, ∞)
7.
Domain: [0, ∞)
Range: [0, ∞)
8.
Domain: [4, ∞)
Range: [0, ∞)
9.
Domain: [0, ∞)
Range: (−∞, 0]
10.
Domain: [0, ∞)
Range: (−∞, 5]
11.
Domain: [1, ∞)
Range: (−∞, 0]
12.
Domain: [0, ∞)
Range: [3, ∞)
13.
14.
15.
17.
18. Reflected over y-axis 19. Stretch by a factor of 3 20. Shifted up by 5 units 21. 𝑓(𝑥) = √−2𝑥
22. 𝑓(𝑥) = −√𝑥 − 7 − 2
23. 𝑔(𝑥) = 2√𝑥 − 5 − 9
EP 3.3
1.
Domain: (−∞, ∞)
Range: (−∞, ∞)
2.
Domain: (−∞, ∞)
Range: (−∞, ∞)
3.
Domain: (−∞, ∞)
Range: (−∞, ∞)
4.
Domain: (−∞, ∞)
Range: (−∞, ∞)
5.
Domain: (−∞, ∞)
Range: (−∞, ∞)
6.
Domain: (−∞, ∞)
Range: (−∞, ∞)
7.
Domain: (−∞, ∞)
Range: (−∞, ∞)
8.
Domain: (−∞, ∞)
9.
Domain: (−∞, ∞)
Range: (−∞, ∞)
10.
Domain: (−∞, ∞)
Range: (−∞, ∞)
11.
Domain: (−∞, ∞)
Range: (−∞, ∞)
12.
Domain: (−∞, ∞)
Range: (−∞, ∞)
13.
14.
15.
16.
17.
18. Shift to the left 6 units 19.Reflected on x-axis
20. Vertical stretch by a factor of 4
21. 𝑓(𝑥) = −2
3√𝑥 3
22. 𝑓(𝑥) = √𝑥 − 93 + 1
23. 𝑓(𝑥) = −1
2√𝑥 + 4 3
+ 4
CW CEFGRF
1. 𝑔(𝑥) = √𝑥 + 52. 𝑔(𝑥) = √𝑥 + 3
3. 𝑔(𝑥) = −√𝑥
4. 𝑔(𝑥) = √𝑥 + 2 − 1
5. 𝑔(𝑥) = √𝑥 − 2 + 6
6. 𝑔(𝑥) = √−𝑥
7. 𝑔(𝑥) = 2√𝑥
8. 𝑔(𝑥) = √−𝑥 − 5
9. 𝑔(𝑥) = 𝑥√𝑥 + 4
10. 𝑔(𝑥) = √𝑥 − 23
11. 𝑔(𝑥) = − √𝑥3
12. 𝑔(𝑥) = 4√𝑥3
13. 𝑔(𝑥) = √𝑥3 + 7
15. 𝑔(𝑥) = √𝑥 − 43 − 3
16. 𝑔(𝑥) = √𝑥 − 33 + 3
17. 𝑔(𝑥) = √𝑥 + 53 + 2
18. 𝑔(𝑥) = − √𝑥3 + 3
EP 3.4 A
1. 𝑥 = 112. 𝑥 = 48
3. 𝑥 = 29
4. 𝑥 = 37
5. 𝑥 = 25
6. 𝑥 = 2
7. 𝑥 = 65
8. No solution 9. 𝑥 = −7
10. 𝑥 = 11
11. 𝑥 = 14
12. 𝑥 =1
2 13. 𝑥 = −8
14. 𝑥 = 1
15. 𝑥 = 8
16. 𝑥 = −64
17. 𝑥 = 126
18. 𝑥 = 3
19. 𝑥 = 32
20. 𝑥 = 20
21. 0.597 𝑚𝑒𝑡𝑒𝑟𝑠
22. 𝑑 = 4,000 𝑚𝑒𝑡𝑒𝑟𝑠 𝑑 = 4 𝑘𝑖𝑙𝑜𝑚𝑒𝑡𝑒𝑟𝑠
23. 𝑥 = √28 = 2√7
EP 3.4 B
1. 𝑥 = 3 𝑅. 𝑆. 𝑥 = −4 𝐸. 𝑆
2. 𝑥 = 3 𝑅. 𝑆. 𝑥 = 0 𝐸. 𝑆
3. 𝑥 = 4 𝑅. 𝑆. 𝑥 = −1 𝐸. 𝑆
4. 𝑥 = 11
5. 𝑥 = 12 𝑅. 𝑆. 𝑥 = 5 𝐸. 𝑆
6. 𝑥 = 3 𝑅. 𝑆. 𝑥 = −2 𝐸. 𝑆
7. 𝑥 = 2 𝑅. 𝑆. 𝑥 = −3 𝐸. 𝑆
8. 𝑥 = 4 𝑅. 𝑆. 𝑥 = 7 𝑅. 𝑆
9. 𝑥 = 5 𝑅. 𝑆. 𝑥 = 2 𝑅. 𝑆
10. 𝑥 = 7 𝑅. 𝑆. 𝑥 = −3 𝐸. 𝑆
11. 𝑥 = 10
12. 𝑥 = 5 𝑅. 𝑆. 𝑥 = −4 𝑅. 𝑆
13. 𝑁𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
EP 3.4 C Honors
1. 𝑥 = 12. 𝑥 = −13
3. 𝑥 = 3
4. 𝑥 = −12
5. 𝑥 = 20
6. 𝑥 = 12
7. 𝑥 = 27
8. 𝑁𝑜 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛
9. 𝑥 = 72
10. 𝑥 = −8
11. 𝑥 = 1
12. 𝑥 = 10
13. 𝑟 = −19
14. 𝑁𝑜 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛
15. 𝑥 = −1
16. 𝑥 = 32
17. 58.8 𝑠𝑞𝑢𝑎𝑟𝑒 𝑚𝑖𝑙𝑒𝑠
18. 4 ℎ𝑜𝑢𝑟𝑠 9 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
EP 3.5H
1. 3
𝑥, 𝑥 ≠ 0
2. 3𝑥(𝑥−3)
𝑥−3 = 3𝑥, 𝑥 ≠ 3
3. 2
𝑥+2, 𝑥 ≠ 4, −2
4. 𝑥−2
3 , 𝑥 ≠ 1
5. 𝑥−3
𝑥+3, 𝑥 ≠ −3, −2
6. 1
𝑚−2, 𝑥 ≠ −4,2
7. (𝑥−5)
2𝑥−3, 𝑥 ≠ −3, 3 2
8. 1−4𝑛
𝑛 , 𝑛 ≠ 0
9. 4𝑥2 − 2𝑥 − 1, 𝑥 ≠ 0 10. 4
5, 𝑛 ≠ 0
11. 3𝑥 + 4 +9
𝑥, 𝑥 ≠ 0
12. 𝑥 + 2, 𝑥 ≠ 10, −2
13. (𝑥−5)(𝑥+1)
𝑥+1 , 𝑥 ≠ −1
14. 1
𝑥−9, 𝑥 ≠ 9
15. −𝑥(𝑥 − 3), 𝑥 ≠ 3 16. 1
2𝑥−7, 𝑥 ≠ − 7 2,
7 2
17. 4𝑥2
2𝑥−1, 𝑥 ≠ 0, 1 2
18. 5
𝑎+8, 𝑥 ≠ 3, −8
19. 9𝑥2+6𝑥+4
𝑥+6 , 𝑥 ≠ −6, 2 3
20. 3𝑥2−2
𝑥+1 , 𝑥 ≠ −9, −1
21. 𝑥−2
𝑥+2, 𝑥 ≠ −2
22. 𝑥−4
𝑥2−4𝑥+16, 𝑥 ≠ −4
EP 3.5R
1. 4
5, 𝑛 ≠ 0
2. 3
𝑥, 𝑥 ≠ 0
3. 2
𝑥+2, 𝑥 ≠ 4, −2
4. 𝑥−2
3 , 𝑥 ≠ 1
5. 3𝑥(𝑥−3)
𝑥−3 = 3𝑥, 𝑥 ≠ 3
6. 1
𝑚−2, 𝑥 ≠ −4,2
7. 1
𝑥+5, 𝑥 ≠ 5, −5
8. (𝑥−5)(𝑥+1)
𝑥+1 = 𝑥 + 1, 𝑥 ≠ −1
9. 𝑥−3
𝑥+3, 𝑥 ≠ −3, −2
10. 𝑥 + 2, 𝑥 ≠ 10 11. 𝑥−2
3 , 𝑥 ≠ 3
12. 𝑥 − 4, 𝑥 ≠ −5 13. 𝑥−2
𝑥+1, 𝑥 ≠ −7, −1
14. 𝑥−2
𝑥+2, 𝑥 ≠ −2
EP 3.6
1. 28
5𝑥2, 𝑥 ≠ 0
2. 𝑥
2, 𝑥 ≠ 0, −1
3. 2(𝑥 − 4), 𝑥 ≠ −4,5 4. 2
𝑥−5, 𝑥 ≠ 6, −5,5
5. 𝑥 + 2, 𝑥 ≠ −5
6. 3(4𝑥+1)
𝑥−1 , 𝑥 ≠ −2, 1
7. 4𝑥
(𝑥+1)(𝑥+2), 𝑥 ≠ 1, −1, 2, −2
9. 𝑥−10
2(𝑥−5)(𝑥−2), 𝑥 ≠ 5, −5, 2, −2
10. 2
3𝑥, 𝑥 ≠ 0, 2, −7, −3
11. 𝑥−5
2 , 𝑥 ≠ −1,1, −4
12. (𝑥+5)(𝑥+5)
5𝑥 , 𝑥 ≠ 0, 5, 2
13. 𝑥+6
𝑥−20, 𝑥 ≠ 6, 20, −1
14. 𝑥2 − 1, 𝑥 ≠ 0, −3 15. 𝑥+2
𝑥 , 𝑥 ≠ 0, 2, −3
16. 3, 𝑎 ≠ 3, −3
EP 3.7
1. 8𝑥(𝑥−3)
3 , 𝑥 ≠ −3,3
2. 𝑥+1
𝑥−1, 𝑥 ≠ 3, 1
3. 𝑥−3
2𝑥 , 𝑥 ≠ −6,3
4. 2(𝑥+2)
𝑥−1 , 𝑥 ≠ 1, −2
5. −2(𝑥−3)
3(𝑥−1) , 𝑥 ≠ 5, 1, 3
6. 3(𝑥+4)
8 , 𝑥 ≠ 4, −4
7. 𝑥+3
2(𝑥+1), 𝑥 ≠ 1
8. 9(𝑥+9)
𝑥3 , 𝑥 ≠ 0, 3
9. 9
2(𝑥+2), 𝑥 ≠ 2, −2, 9
10. 4𝑥(2𝑥−1)
3(𝑥+1)(𝑥−1), 𝑥 ≠ −1, 1
11. (𝑥+2)(𝑥+5)
3(𝑥−1) , 𝑥 ≠ 6, −5
12. (𝑥−2)
𝑥−3 , 𝑥 ≠ 3, −2
13. 𝑥−5
𝑥+7, 𝑥 ≠ −7, 1, −8
14. 4
𝑥, 𝑥 ≠ 0, 1
15. 𝑥+2
4𝑥(𝑥+6) , 𝑥 ≠ 6, −6, −2
EP 3.8
1. 2
𝑥, 𝑥 ≠ 0 2. 7, 𝑥 ≠3
2 3. 2, 𝑥 ≠ −1
4. 1
5𝑥+7, 𝑥 ≠ − 7 5, +
7 5
5. −1(𝑥+1)
𝑥2−4 , 𝑥 ≠ 2, −2 6. 3
𝑥+3, 𝑥 ≠ −3 7. −1
𝑥(𝑥−1), 𝑥 ≠ 0, 1 8. 2𝑎+𝑏
𝑎2 , 𝑎 ≠ 0 9. 12−𝑥
2𝑥+2= 12−𝑥
2(𝑥+1), 𝑥 ≠ −1 10. 7
3𝑥+6, 𝑥 ≠ −2 11. 11
6(𝑥−5), 𝑥 ≠ 5
12. 4
(𝑝−2)(𝑝+2), 𝑝 ≠ −2, 2 13. 2𝑥−9
𝑥2−3𝑥, 𝑥 ≠ 0, 3
14. 15
(𝑥−2)(𝑥−1)(𝑥+3), 𝑥 ≠ 2, 1, −3 15. −𝑥+3
30 16. 1
𝑥+7, 𝑥 ≠ −7, −4 17. 𝑥2+14𝑥−49
(𝑥+7)(𝑥−7), 𝑥 ≠ 7, −7 18. 𝑥2+11𝑥
(𝑥+5)(𝑥+8), 𝑥 ≠ −5, −8 19. 10𝑥−12
𝑥3−4𝑥2+3𝑥, 𝑥 ≠ 0, 3, 1 20. 7𝑥−3
2𝑥(𝑥−7)(𝑥−1), 𝑥 ≠ 0, 7, 1
21. 𝑥+2
(𝑥−4)(𝑥+1)(𝑥−1), 𝑥 ≠ 4, −1, 1 22. 𝑥2+4
(𝑥+2)(𝑥+2)(𝑥−2), 𝑥 ≠ 2, −2 23. 𝑥
𝑦, 𝑦 ≠ 0 24. (𝑏+1)(𝑏+1)
(𝑏+2)(𝑏−2), 𝑏 ≠ 2, −2
EP 3.9H
1. 𝑥 = −1, 12, 𝑥 ≠ 0
2. 𝑥 = −9, 𝑥 ≠ 0
3. 𝑥 = 5, 𝑥 ≠ 0
4. 𝑥 = −7, 𝑥 ≠ 7,0
5. 𝑥 = −4, 𝑥 ≠ −1, 0
6. 𝑥 = 14, 𝑥 ≠ −5,1
7. 𝑥 = 3, 𝑥 ≠ 0, 3 𝑁𝑜 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛
8. 𝑥 = −2, 𝑥 ≠ 1, −2
3 9. 𝑥 = 1, 𝑥 ≠ 7, 3
10. 𝑥 =17
2 , 𝑥 ≠ 1, −4 11. 𝑥 = −4, 1, 𝑥 ≠ 4, 0
12. 𝑥 = −3, 𝑥 ≠ 2, −2
EP 3.9R
1. 𝑥 = 3, 𝑥 ≠ 12. 𝑥 = 5, 𝑥 ≠ 0
3. 𝑥 = −4, 𝑥 ≠, 0
4. 𝑥 = −9, 𝑥 ≠ 0
5. 𝑥 = −2, 𝑥 ≠ 1, −2
3 6. 𝑥 = 0, 𝑥 ≠ 3, −4
7. 𝑥 = 5, 𝑥 ≠ 1
8. 𝑥 = 1, 𝑥 ≠ 7, 3
9. 𝑥 = 14, 𝑥 ≠ −5,1
10. 𝑥 = 1, −2, 𝑥 ≠ 0, 2
EP 3.10
1. 3.429 ℎ𝑜𝑢𝑟𝑠2. 60 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
3. Benny will take 4 hours 4. 102.86 𝑚𝑖𝑛𝑢𝑡𝑒𝑠
5. 4.603 𝑑𝑎𝑦𝑠
6. 27.27 ℎ𝑜𝑢𝑟𝑠
EP 3.12
1. Domain: all reals except
𝑥 = 0
Range: all reals except
𝑦 = 0
Vert. Asy: 𝑥 = 0
Horz. Asy: 𝑦 = 0
EB: 𝑅: 𝑥 → ∞, 𝑦 → 0 𝐿: 𝑥 → ∞, 𝑦 → 0
2. Domain: all reals except
𝑥 = −3
Range: all reals except
𝑦 = 0
Vert. Asy: 𝑥 = −3
Horz. Asy: 𝑦 = 0
EB: 𝑅: 𝑥 → ∞, 𝑦 → 0 𝐿: 𝑥 → ∞, 𝑦 → 0
3. Domain: all reals except
Range: all reals except
𝑦 = 2
Vert. Asy: 𝑥 = 0
Horz. Asy: 𝑦 = 2
EB: 𝑅: 𝑥 → ∞, 𝑦 → 2 𝐿: 𝑥 → ∞, 𝑦 → 2
4.
Domain: all reals except 𝑥 = −2
Range: all reals except 𝑦 = 0
Vert. Asy: 𝑥 = −2
Horz. Asy: 𝑦 = 0
5.
Domain: all reals except 𝑥 = −7
Range: all reals except 𝑦 = 0
Vert. Asy: 𝑥 = −7
Horz. Asy: 𝑦 = 0
6.
Domain: all reals except 𝑥 = 0
Range: all reals except 𝑦 = 1
Vert. Asy: 𝑥 = 0
Horz. Asy: 𝑦 = 1
7.
Domain: all reals except 𝑥 = 0
Range: all reals except 𝑦 = −2
Vert. Asy: 𝑥 = 0
Horz. Asy: 𝑦 = −2
8.
Domain: all reals except 𝑥 = 3
Range: all reals except 𝑦 = 1
Vert. Asy: 𝑥 = 3
Horz. Asy: 𝑦 = 1
9.
Domain: all reals except 𝑥 = −1
Range: all reals except 𝑦 = 2
Vert. Asy: 𝑥 = −1
Horz. Asy: 𝑦 = 2
10.
Range: all reals except 𝑦 = 0
Vert. Asy: 𝑥 = 5
Horz. Asy: 𝑦 = 0
11.
Domain: all reals except 𝑥 = −9
Range: all reals except 𝑦 = 0
Vert. Asy: 𝑥 = −9
Horz. Asy: 𝑦 = 0
12.
Domain: all reals except 𝑥 = −3
2 Range: all reals except 𝑦 = 0
Vert. Asy: 𝑥 = −3
2 Horz. Asy: 𝑦 = 0
13. Answer will vary
𝑓(𝑥) = 7
𝑥+3
14. Answer will vary
𝑓(𝑥) = 2
𝑥−5+ 3 15. Answer will vary
𝑓(𝑥) = 8
𝑥+5
EP 3.12
1. See Mrs. Mikesell Solution
2. See Mrs. Mikesell Solution 3. See Mrs. Mikesell Solution 4. See Mrs. Mikesell Solution 5. See Mrs. Mikesell Solution 6. See Mrs. Mikesell Solution 7. Answer will vary
𝑓(𝑥) = 3
𝑥−5 8. Answer will vary
𝑓(𝑥) = 6
𝑥−4− 3 9. Answer will vary
𝑓(𝑥) = 1
(𝑥∓2)(𝑥−1) 10.Answer will vary
𝑓(𝑥) = 7
(𝑥+3)(𝑥−5)+ 1 11.Answer will vary
𝑓(𝑥) = 11
𝑥+7− 2 12.Answer will vary
𝑓(𝑥) = 14
𝑥++1− 2
EP 3.3
1. 𝑥 ≠ −3, 𝑥 = −3, Point of
discontinuity,
2. 𝑥 ≠ 7, 𝑥 = 7, vertical
asymptote
3. 𝑥 ≠ 4, 2 ; 𝑥 = 4 Point of
discontinuity, 𝑥 = 2, vertical
asymptote
4. 𝑥 ≠ 3, −3 ; 𝑥 = 3 Point of
discontinuity, 𝑥 = 2 − 3
vertical asymptote 5. Neither
6. 𝑥 ≠ 8, −2 ; 𝑥 = −2 Point of
discontinuity, 𝑥 = 8, vertical
asymptote 7.
Domain: (−∞, −1) ∪ (−1, ∞)
Range: (−∞, 1) ∪ (1, ∞)
Vert. Asy: 𝑥 = −1
Horz. Asy: 𝑦 = 1
8.
Domain: (−∞, −4) ∪ (−4,2) ∪ (2, ∞) Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = −1
Horz. Asy: 𝑦 = 1
Domain: (−∞, 1) ∪ (1, ∞)
Range: (−∞, 1) ∪ (1, ∞)
Vert. Asy: 𝑥 = 1
Horz. Asy: 𝑦 = 1
10.
Domain:(−∞, −4) ∪ (−4, −3) ∪ (−3, ∞) Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = −4, 𝑥 = 2
Horz. Asy: 𝑦 = 0
11.
Domain: (−∞, 0) ∪ (0, ∞)
Range: (−∞, 0)
Vert. Asy: 𝑥 = 0
Horz. Asy: 𝑦 = 0
12.
Domain: (−∞, 0) ∪ (0,4) ∪ (4, ∞)
Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = 4
Horz. Asy: 𝑦 = 0
13.
Domain: (−∞, −1) ∪ (−1,1) ∪ (−1, ∞) Range: (−∞,1
3) ∪ (10, ∞)
Vert. Asy: 𝑥 = 1, 𝑥 = −1
Horz. Asy: 𝑦 =1 3
14.
Domain: (−∞, −4) ∪ (−4,4) ∪ (4, ∞) Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = 4, 𝑥 = −4
Horz. Asy: 𝑦 = 0
15.
Domain: (−∞, −3) ∪ (−3,3) ∪ (3, ∞) Range: (−∞, ∞)
Vert. Asy: 𝑥 = 3, 𝑥 = −3
Horz. Asy: 𝑦 = 0
16.
Domain: (−∞, −3) ∪ (−3,6) ∪ (6, ∞) Range: (−∞, ∞)
Vert. Asy: 𝑥 = 6, 𝑥 = −3
Horz. Asy: 𝑦 = 0
17.
Domain: (−∞, 2) ∪ (2, ∞)
Range: (−∞, −4) ∪ (−4, ∞)
Vert. Asy: 𝑥 = 2
18.
Domain: (−∞, −4) ∪ (4,6) ∪ (6, ∞)
Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = 6
Horz. Asy: 𝑦 = 0
19.
Domain: (−∞, −3) ∪ (−3,7) ∪ (7, ∞) Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = −3
Horz. Asy: 𝑦 = 0
20.
Domain: (−∞, −3) ∪ (−3,0) ∪ (0, ∞) Range: (−∞, 0) ∪ (0, ∞)
Vert. Asy: 𝑥 = −3
Horz. Asy: 𝑦 = 0
21.
Domain: (−∞, −1) ∪ (−1,1) ∪ (1, ∞) Range: (−∞, −3) ∪ (0, ∞)
Vert. Asy: 𝑥 = 1, 𝑥 = −1
Horz. Asy: 𝑦 = 0
22.
Domain: (−∞, 1) ∪ (1, ∞)
Range: (−∞, ∞)
Vert. Asy: 𝑥 = 1
Slant Asy: 𝑦 = −𝑥 − 2
23.
Domain: (−∞, −1) ∪ (−1, ∞)
Range: (−∞, −4) ∪ (0, ∞)
Vert. Asy: 𝑥 = −1
Slant Asy: 𝑦 = 𝑥 − 1
24.
Domain: (−∞, −2) ∪ (−1,1) ∪ (2, ∞)
Range: Don’t Due Vert. Asy: 𝑥 = 2
Slant Asy: 𝑦 = 𝑥
EP 3.14
1. 𝑓−1(𝑥) = (𝑥 7)
2
2. 𝑓−1(𝑥) = (𝑥 − 3)3− 1 3. 𝑓−1(𝑥) =1
𝑥− 9 4. 𝑓−1(𝑥) = 3
𝑥−1 5. 𝑓−1(𝑥) = (𝑥−5
3 ) 2
+ 2
6. 𝑓−1(𝑥) = (−𝑥
3 ) 3
7. 𝑓−1(𝑥) = (𝑥 + 2)3− 5 8. 𝑓−1(𝑥) = −6
𝑥+1− 2 9. 𝑓−1(𝑥) = (𝑥+4
3 ) 2
− 1
10. 𝑓−1(𝑥) = (𝑥 + 2)2− 4 11. 𝑓−1(𝑥) = (𝑥−2
7 ) 3
− 5
12. 𝑓−1(𝑥) =−3
𝑥 − 2 13. 𝑓−1(𝑥) = 3
𝑥−2− 1 14. 𝑓−1(𝑥) = (𝑥+3
2 ) 2
15. 𝑓−1(𝑥) = (𝑥+7 2 )
3
− 4
16. 𝑓−1(𝑥) = 3 𝑥+3+ 3 17. 𝑓−1(𝑥) =1
EP 3.15
1. Rate of change 1 5 2. Rate of change 1 2 3. Rate of change 2 5 4. Rate of change 1
5. Rate of change 1 3 6. Rate of change −1
7 7. Rate of change −1
5 8. Rate of change 1
9. Rate of change 1
10.Rate of change 0.45 inches
per month 11. ~