Exact values and properties
- 1. e -2 =
- 2. Answer
- 3. ln(3x 5 ) =
- 4. Answer =ln3 + lnx 5 =ln3 + 5lnx
- 5. e ln3 =
- 6. Answer = 3
- 8. Answer
- 10. Answer = -1
- 11. tan0 =
- 12. Answer = 0
- 14. Answer
- 15. sin∏ =
- 16. Answer = 0
- 17. For y=lnx, can x = 0?
- 18. Answer No! Domain of natural log is
- 20. Answer
- 22. Answer
- 23. For y=2 x , can x be 0?
- 24. Answer Yes! Domain of exponential is any # to the 0 power is 1 (0,1) point on parent graph
- 25. For y=2 x , can y be negative?
- 26. Answer No! Range of exponential is
- 28. Answer
- 29. ln0 =
- 31. lne 2 =
- 32. Answer lne 2 = 2lne = 2(1) = 2
- 34. Answer = 1
- 36. Answer = undefined VA at 90 degrees
- 37. ln1 =
- 38. Answer = 0
- 39. ln(-2) =
- 41. e 0 =
- 42. Answer = 1
- 43. For y=2 x , can x be negative?
- 44. Answer Yes! Domain of exponential is
- 46. Answer
- 47. For y=2 x , can y = 0?
- 48. Answer No! Range of exponential is HA at y=0 (for parent graph)
- 49. cos∏ =
- 50. Answer = -1
- 51. For y=lnx, can x be negative?
- 52. Answer No! Domain of natural log is
- 53. sin0 =
- 54. Answer = 0
- 56. Answer = 0
- 57. For y=lnx, can y = 0?
- 58. Answer Yes! Range of natural log is (inverse of exponential) (1,0) is a point on the parent graph
- 60. Answer
- 61. cos0 =
- 62. Answer = 1
- 64. Answer
- 65. Does ln(x 2 +1) = lnx 2 + ln1 = 2lnx + 0 ?
- 66. Answer NO! It is the natural log of that quantity.