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Kunci Jawaban dan Pembahasan Soal || Buku Calculus 9th Purcell Chapter 1 - 1.6 Number 1 – 35

Pembahasan Soal Buku Calculus 9th Purcell Chapter 1 Section 1.1

CHAPTER 1 LIMITS

SECTION 1.6 Continuity of Functions


Problem Set 1.6, Number 1 – 36.

Calculus 9th Purcell Chapter 1 - 1.6

    In Problems 1–15, state whether the indicated function is continuous at 3. If it is not coutinuous, tell why.
  1. f(x) = (x – 3)(x – 4)
    2. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  2. g(x) = x2 – 9
    3. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  3. h(x) =
    3
    x – 3
    4. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  4. g(t) = √(t – 4)
    5. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  5. h(t) =
    |t – 3|
    t – 3
    6. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  6. h(t) =
    | √[(t – 3)4] |
    t – 3
    7. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  7. f(t) = |t|
    8. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  8. g(t) = |t – 2|
    9. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  9. h(x) =
    x2 – 9
    x – 3
    10. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


    Semoga Bermanfaat 😁

  10. f(x) =
    21 – 7x
    x – 3
    11. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  11. r(t)
    =
    {
    t3 – 27
    if
    t ≠ 3
    t – 3
    27
    if
    t = 3
    12. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  12. r(t)
    =
    {
    t3 – 27
    if
    t ≠ 3
    t – 3
    23
    if
    t = 3
    13. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  13. f(t)
    =
    {
    t – 3
    if
    t ≤ 3
    3 – t
    if
    t > 3
    14. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  14. f(t)
    =
    {
    t2 – 9
    if
    t ≤ 3
    (3 – t)2
    if
    t > 3
    15. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  15. f(x)
    =
    {
    –3x + 7
    if
    t ≤ 3
    –2
    if
    t > 3
    16. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  16. From the graph of g (see Figure 13), indicate the values where g is discontinuous. For each of these values state whether g is continuous from the right, left, or neither.

    17. Calculus 9th Purcell Chapter 1 - 1.6

    ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  17. From the graph of h given in Figure 14, indicate the intervals on which h is continuous.

    18. Calculus 9th Purcell Chapter 1 - 1.6

    ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


    Semoga Bermanfaat 😁

    In Problems 18–23, the given function is not defined at a certain point. How should it be defined in order to make it continuous at that point? (See Example 1.)
  18. f(x) =
    x2 – 49
    x – 7
    19. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  19. f(x) =
    2x2 – 18
    3 – x
    20. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  20. g(θ) =
    sin θ
    θ
    21. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  21. H(t) =
    √t – 1
    t – 1
    22. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  22. Φ(x) =
    x4 + 2x2 – 3
    x + 1
    23. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  23. F(x) = sin
    x2 – 1
    x + 1
    24. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


    In Problems 24–35, at what point, if any, are the functions discontinuous?
  24. f(x) =
    3x + 7
    (x – 30)(x – π)
    25. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  25. f(x) =
    33 – x2
    xπ + 3x – 3π – x2
    26. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  26. h(θ) = |sin θ + cos θ|
    27. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  27. r(θ) = tan θ
    28. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


    Semoga Bermanfaat 😁

  28. f(u) =
    2u + 7
    √(u + 5)
    29. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  29. g(u) =
    u2 + |u – 1|
    ∛(u + 1)
    30. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  30. F(x) =
    1
    √(4 + x2)
    31. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  31. G(x) =
    1
    √(4 – x2)
    32. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  32. f(x)
    =
    {
    x
    if
    x < 0
    x2
    if
    0 ≤ x ≤ 1
    2 – x
    if
    x > 1
    33. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  33. g(x)
    =
    {
    x2
    if
    x < 0
    –x
    if
    0 ≤ x ≤ 1
    x
    if
    x > 1
    34. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  34. f(t) = 〚t〛
    35. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


  35. g(t) = 〚t + ½〛
    36. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.6


Semoga Bermanfaat 😁

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