e -2  =
Answer
ln(3x 5 ) =
Answer =ln3 + lnx 5 =ln3 + 5lnx
e ln3 =
Answer = 3
 
Answer
 
Answer = -1
tan0 =
Answer = 0
 
Answer
sin∏ =
Answer = 0
For y=lnx, can x = 0?
Answer No! Domain of natural log is
 
Answer
 
Answer
For y=2 x , can x be 0?
Answer Yes! Domain of exponential is any # to the 0 power is 1 (0,1) point on parent graph
For y=2 x , can y be negative?
Answer No! Range of exponential is
 
Answer
ln0 =
Answer = undefined
lne 2  =
Answer lne 2  = 2lne = 2(1) = 2
 
Answer = 1
 
Answer = undefined VA at 90 degrees
ln1 =
Answer = 0
ln(-2) =
Answer = undefined
e 0  =
Answer = 1
For y=2 x , can x be negative?
Answer Yes! Domain of exponential is
 
Answer
For y=2 x , can y = 0?
Answer No! Range of exponential is HA at y=0 (for parent graph)
cos∏ =
Answer = -1
For y=lnx, can x be negative?
Answer No! Domain of natural log is
sin0 =
Answer = 0
 
Answer = 0
For y=lnx, can y = 0?
Answer Yes! Range of natural log is (inverse of exponential) (1,0) is a point on the parent graph
 
Answer
cos0 =
Answer = 1
 
Answer
Does ln(x 2 +1) =  lnx 2  + ln1 = 2lnx + 0 ?
Answer NO! It is the natural log of that quantity.
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Exact values and properties

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Exact values and properties

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

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