Building Skills

  1. 9. Domain: {a, b, c}; range: {d, e}; function

  2. 11. Domain; {a, b, c}; range: {1, 2}; function

  3. 13. Domain: {0, 3, 8}; range: {3,2,1, 1, 2}; not a function

  4. 15. Yes

  5. 17. Yes

  6. 19. No

  7. 21. Yes

  8. 23. Yes

  9. 25. No

  10. 27. Yes

  11. 29. f(0)=1, g(0) is not defined, h(0)=2, f(a)=a23a+1, f(x)=x2+3x+1

  12. 31. f(1)=5, g(1) is not defined, h(1)=3, h(c)=2c, h(x)=2+x

  13. 33.

    1. 0

    2. 233

    3. Not defined

    4. Not defined

    5. 2x4x2

  14. 35. 9

  15. 37. (, )

  16. 39. (, 9)(9, )

  17. 41. (,1)(1, 1)(1, )

  18. 43. [3, )

  19. 45. (,2)(2,1)(1, )

  20. 47. (, 0)(0, )

  21. 49. Yes

  22. 51. Yes

  23. 53. No

  24. 55. f(4)=2, f(1)=1, f(3)=5, f(5)=7

  25. 57. h(2)=5, h(1)=4, h(0)=3, h(1)=4

  26. 59. x=2 or 3

  27. 61.

    1. No

    2. x=1±3

    3. 5

    4. x=1±1214

  28. 63. Domain: [3, 2]; range: [3, 3]

  29. 65. Domain: [4, ); range: [2, 3]

  30. 67. Domain: ...

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