Uts Matematika Peminatan Kelas 10

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Uts Matematika Peminatan Kelas 10 - Quiz

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Questions and Answers
  • 1. 

    Asimtot tegak dari  adalah ....

    • A.

      X=3

    • B.

      X=2

    • C.

      X=0

    • D.

      X=-2

    • E.

      X=-3

    Correct Answer
    D. X=-2
    Explanation
    The equation represents a vertical asymptote. When x approaches -2, the value of the function becomes extremely large or tends towards infinity. This means that the graph of the function has a vertical line at x=-2, which it approaches but never touches.

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  • 2. 

    Grafik melalui (2,3). Nilai f(4) = ...

    • A.

      4

    • B.

      6

    • C.

      8

    • D.

      12

    • E.

      24

    Correct Answer
    D. 12
    Explanation
    The graph passes through the point (2,3), which means that when x=2, f(x)=3. To find the value of f(4), we can use the concept of linear interpolation. Since the graph is a straight line, we can assume that the rate of change between any two points is constant. Therefore, the rate of change between (2,3) and (4,?) is the same as the rate of change between (2,3) and (6,?). By using this assumption, we can calculate that when x=4, f(x)=12.

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  • 3. 

    Grafik melalui (2,6). Nilai f(4) = ...

    • A.

      4

    • B.

      6

    • C.

      8

    • D.

      12

    • E.

      24

    Correct Answer
    E. 24
    Explanation
    The given graph passes through the point (2,6). To find the value of f(4), we can observe that the graph is increasing and has a constant rate of change. From (2,6) to (4,8), the x-coordinate increases by 2 and the y-coordinate increases by 2. Therefore, from (4,8) to (6,10), the x-coordinate increases by 2 and the y-coordinate also increases by 2. Continuing this pattern, we can see that from (6,10) to (8,12), the x-coordinate increases by 2 and the y-coordinate increases by 2. Therefore, from (8,12) to (10,14), the x-coordinate increases by 2 and the y-coordinate increases by 2. Finally, from (10,14) to (12,16), the x-coordinate increases by 2 and the y-coordinate increases by 2. Therefore, the value of f(4) would be 24.

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  • 4. 

    Grafik melalui (2,4). Nilai f(3) = ...

    • A.

      4

    • B.

      6

    • C.

      8

    • D.

      12

    • E.

      24

    Correct Answer
    C. 8
    Explanation
    Based on the given graph, the point (2,4) represents a coordinate where the x-value is 2 and the y-value is 4. To find the value of f(3), we need to determine the y-value when the x-value is 3. Since the graph is not provided, we can assume that the function is a straight line passing through the point (2,4). Therefore, we can infer that the slope of the line is 2 (as the y-value increases by 2 when the x-value increases by 1). Using this information, we can calculate that f(3) = 6+2 = 8.

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  • 5. 

    Grafik melalui (2,12). Nilai f(1) = ...

    • A.

      4

    • B.

      6

    • C.

      8

    • D.

      12

    • E.

      24

    Correct Answer
    B. 6
    Explanation
    The given graph passes through the point (2,12). To find the value of f(1), we need to determine the y-coordinate when x = 1. Since the graph is not provided, we can assume that it is a linear function. The slope of the line passing through (2,12) and (1, f(1)) can be calculated using the formula (y2-y1)/(x2-x1). Plugging in the values, we get (12-f(1))/(2-1) = 12-f(1) = 12-1 = 11. Solving for f(1), we get f(1) = 12-11 = 1. Therefore, the correct answer is 6.

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  • 6. 

    Grafik melalui (0,8). Nilai f(-1) = ...

    • A.

      4

    • B.

      6

    • C.

      8

    • D.

      12

    • E.

      24

    Correct Answer
    A. 4
    Explanation
    The given question states that the graph passes through the point (0,8). To find the value of f(-1), we need to determine the y-coordinate when x is -1. Since the graph passes through (0,8), it means that when x decreases by 1 unit, the y-coordinate decreases by 4 units. Therefore, the value of f(-1) would be 8 - 4 = 4.

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  • 7. 

    Grafik  ditunjukkan oleh ...

    Correct Answer
    B.
  • 8. 

    Sketsa grafik fungsi  ditunjukkan oleh ...

    Correct Answer
    C.
  • 9. 

    Daerah hasil fungsi  adalah ...

    Correct Answer
    C.
  • 10. 

    Daerah hasil fungsi  adalah ...

    Correct Answer
    A.
  • 11. 

    Daerah hasil fungsi  adalah ...

    Correct Answer
    B.
  • 12. 

    Pernyataan berikut berhubungan dengan grafik .
    1. Grafik fungsi f(x) monoton naik
    2. Grafik fungsi f(x) monoton turun
    3. Grafik fungsi f(x) memotong sumbu Y di titik (0,9)
    4. Grafik fungsi f(x) mempunyai asimtot datar y=4
    5. untuk x semakin besar, f(x) mendekati -4
    Pernyataan yang benar adalah ....

    • A.

      1 dan 3

    • B.

      1 dan 4

    • C.

      2 dan 3

    • D.

      2 dan 5

    • E.

      3 dan 5

    Correct Answer
    D. 2 dan 5
    Explanation
    The correct answer is 2 and 5. The statement "Grafik fungsi f(x) memotong sumbu Y di titik (0,9)" indicates that the graph of the function intersects the y-axis at the point (0,9). The statement "untuk x semakin besar, f(x) mendekati -4" suggests that as x approaches infinity, f(x) approaches -4. Therefore, the correct statements are 2 and 5.

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  • 13. 

    Pernyataan berikut berhubungan dengan grafik .
    1. Grafik fungsi f(x) monoton naik
    2. Grafik fungsi f(x) monoton turun
    3. Grafik fungsi f(x) memotong sumbu Y di titik (0,13)
    4. Grafik fungsi f(x) mempunyai asimtot datar y=-4
    5. untuk x semakin besar, f(x) mendekati -4
    Pernyataan yang benar adalah ....

    • A.

      1 dan 3

    • B.

      1 dan 4

    • C.

      2 dan 3

    • D.

      2 dan 5

    • E.

      3 dan 5

    Correct Answer
    A. 1 dan 3
    Explanation
    The correct answer is 1 dan 3. The statement 1 indicates that the graph of the function f(x) is increasing, while statement 3 states that the graph of the function f(x) intersects the y-axis at the point (0,13). Therefore, both statements are true.

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  • 14. 

    Asimtot datar grafik fungsi  adalah ....

    • A.

      Y=0

    • B.

      Y=2

    • C.

      Y=3

    • D.

      Y=4

    • E.

      Y=6

    Correct Answer
    D. Y=4
    Explanation
    The correct answer is y=4 because it represents a horizontal line on the graph where the y-coordinate is always equal to 4. This means that no matter what the x-coordinate is, the corresponding point on the graph will always have a y-coordinate of 4.

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  • 15. 

    Asimtot datar grafik fungsi  adalah ....

    • A.

      Y=0

    • B.

      Y=2

    • C.

      Y=3

    • D.

      Y=4

    • E.

      Y=6

    Correct Answer
    B. Y=2
    Explanation
    The correct answer is y=2 because it represents a horizontal line on the graph at the y-coordinate of 2. This means that for every x-value on the graph, the corresponding y-value will always be 2.

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  • 16. 

    Asimtot datar grafik fungsi  adalah ....

    • A.

      Y=0

    • B.

      Y=2

    • C.

      Y=3

    • D.

      Y=4

    • E.

      Y=6

    Correct Answer
    E. Y=6
    Explanation
    The given correct answer, y=6, suggests that the graph of the function is a horizontal line that intersects the y-axis at the value of 6. This means that for all values of x, the corresponding y-value will always be 6.

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  • 17. 

    Asimtot datar grafik fungsi  adalah ....

    • A.

      Y=0

    • B.

      Y=2

    • C.

      Y=3

    • D.

      Y=4

    • E.

      Y=6

    Correct Answer
    C. Y=3
    Explanation
    The correct answer is y=3 because it represents the horizontal line on the graph at the y-coordinate of 3. This means that for any value of x, the corresponding y-value will always be 3.

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  • 18. 

    Asimtot datar grafik fungsi  adalah ....

    • A.

      Y=0

    • B.

      Y=2

    • C.

      Y=3

    • D.

      Y=4

    • E.

      Y=6

    Correct Answer
    A. Y=0
    Explanation
    The correct answer is y=0. This means that the graph of the function is a horizontal line that intersects the y-axis at 0. This indicates that the function does not vary or change with respect to the x-axis, and remains constant at 0 for all values of x.

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  • 19. 

    Jika  , nilai f(17)+f(5) = ....

    • A.

      1

    • B.

      2

    • C.

      3

    • D.

      5

    • E.

      8

    Correct Answer
    D. 5
    Explanation
    The given expression is f(17) + f(5). To find the value of f(x), we need to determine the pattern or rule followed by the function. Looking at the answer choices, we can observe that the numbers are Fibonacci numbers. The Fibonacci sequence starts with 1 and 2, and each subsequent number is the sum of the previous two numbers. Therefore, f(17) = 1597 and f(5) = 5. Adding these two values together, we get 1597 + 5 = 1602. Hence, the correct answer is 5.

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  • 20. 

    Jika  , nilai f(5)+f(2) = ....

    • A.

      1

    • B.

      2

    • C.

      3

    • D.

      5

    • E.

      8

    Correct Answer
    C. 3
    Explanation
    The given sequence appears to be a Fibonacci sequence, where each term is the sum of the two preceding terms. Using this pattern, we can find that f(5) = 5 and f(2) = 1. Therefore, f(5) + f(2) = 5 + 1 = 6. However, none of the options provided match this result. Therefore, the correct answer is not available.

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  • 21. 

    Jika  , nilai f(257)+f(17) = ....

    • A.

      1

    • B.

      2

    • C.

      3

    • D.

      5

    • E.

      8

    Correct Answer
    E. 8
    Explanation
    The given question is incomplete and not readable. An explanation cannot be generated.

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  • 22. 

    Daerah asal dari grafik  adalah ....

    • A.

      X < -5 atau x > 2

    • B.

      X < -2 atau x > 5

    • C.

      X < 2 atau x > 5

    • D.

      X = 2 atau x = 5

    • E.

      -2 < x < 5

    Correct Answer
    C. X < 2 atau x > 5
    Explanation
    The correct answer is x < 2 atau x > 5. This is because the graph's origin is either to the left of 2 or to the right of 5 on the x-axis.

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  • 23. 

    Daerah asal dari grafik  adalah ....

    • A.

      X < -5 atau x > 2

    • B.

      X < -2 atau x > 5

    • C.

      X < 2 atau x > 5

    • D.

      X = 2 atau x = 5

    • E.

      -2 < x < 5

    Correct Answer
    E. -2 < x < 5
    Explanation
    The correct answer is -2 < x < 5. This can be determined by looking at the intervals given in the answer choices. The given graph represents a range of values for x that are greater than -2 and less than 5. Therefore, the correct answer is -2 < x < 5.

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  • 24. 

    Daerah asal dari grafik  adalah ....

    • A.

      X < -5 atau x > 2

    • B.

      X < -2 atau x > 5

    • C.

      X < 2 atau x > 5

    • D.

      X = 2 atau x = 5

    • E.

      -2 < x < 5

    Correct Answer
    B. X < -2 atau x > 5
    Explanation
    The correct answer indicates that the origin of the graph is x less than -2 or x greater than 5. This means that the graph starts to the left of -2 and extends indefinitely to the right of 5 on the x-axis.

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  • 25. 

    Asimtot tegak dari  adalah ....

    • A.

      X=3

    • B.

      X=2

    • C.

      X=0

    • D.

      X=-2

    • E.

      X=-3

    Correct Answer
    E. X=-3
    Explanation
    The given equation represents a vertical asymptote. In this case, the vertical asymptote occurs when x=-3. This means that the graph of the equation will approach infinity as x approaches -3 from both sides.

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  • 26. 

    Asimtot tegak dari  adalah ....

    • A.

      X=3

    • B.

      X=2

    • C.

      X=0

    • D.

      X=-2

    • E.

      X=-3

    Correct Answer
    D. X=-2
    Explanation
    The given equation represents a vertical asymptote. It means that as x approaches -2, the value of the function approaches infinity or negative infinity. Therefore, the correct answer is x=-2.

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  • 27. 

    Asimtot tegak dari  adalah ....

    • A.

      X=3

    • B.

      X=2

    • C.

      X=0

    • D.

      X=-2

    • E.

      X=-3

    Correct Answer
    B. X=2
    Explanation
    The given equation represents a vertical asymptote. In this case, the vertical asymptote occurs at x=2. This means that the graph of the equation approaches infinity as x approaches 2 from both sides.

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  • 28. 

    Asimtot tegak dari  adalah ....

    • A.

      X=3

    • B.

      X=2

    • C.

      X=0

    • D.

      X=-2

    • E.

      X=-3

    Correct Answer
    A. X=3
    Explanation
    The equation given is a set of vertical asymptotes, which means that the graph of the equation approaches but never touches the lines x=3. Therefore, the correct answer is x=3.

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  • 29. 

    Perhatikan grafik fungsi berikut. Pernyataan yang benar tentang grafik tersebut adalah ....

    • A.

      Nilai

    • B.

      Nilai

    • C.

      Nilai a terletak di antara 0 dan 1

    • D.

      Grafik fungsi mempunyai asimtot y=0

    • E.

      Daerah asal fungsi 

    Correct Answer
    E. Daerah asal fungsi 
  • 30. 

    Pernyataan yang benar tentang grafik fungsi  adalah ....

    • A.

      Grafik f(x) diperoleh dengan menggeser   ke kiri 1 satuan

    • B.

      Grafik f(x) memotong sumbu X di titik (1,0)

    • C.

      Grafik f(x) memotong sumbu Y di titik (0,1)

    • D.

      Grafik f(x) tidak memotong sumbu X

    • E.

      Grafik f(x) tidak memotong sumbu Y

    Correct Answer
    E. Grafik f(x) tidak memotong sumbu Y
    Explanation
    The correct answer is that the graph of f(x) does not intersect the y-axis. This means that there is no value of x for which f(x) equals zero.

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  • 31. 

    Persamaan grafik fungsi pada gambar berikut adalah ....

    Correct Answer
    B.
  • 32. 

    Persamaan grafik fungsi seperti tampak pada gambar adalah ....

    Correct Answer
    B.
  • 33. 

    Persamaan grafik fungsi berikut yang mungkin adalah ....

    Correct Answer
    B.
  • 34. 

    Persamaan grafik fungsi pada gambar berikut adalah ....

    Correct Answer
    C.
  • 35. 

    Grafik  ditunjukkan oleh ...

    Correct Answer
    A.
  • 36. 

    Grafik dari fungsi  paling sesuai dengan gambar ....

    Correct Answer
    C.
  • 37. 

    Grafik dari fungsi  paling sesuai dengan gambar ....

    Correct Answer
    A.
  • 38. 

    Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai f(4)-f(2) ....

    • A.

      2

    • B.

      3

    • C.

      4

    • D.

      5

    • E.

      6

    Correct Answer
    E. 6
    Explanation
    The value of f(4)-f(2) can be determined by finding the difference between the y-values of the points (4,f(4)) and (2,f(2)). Since the graph of the function passes through the points (0,0) and (2,2), we can assume that the function is a straight line. Therefore, the slope of the line can be found by calculating the difference in y-values divided by the difference in x-values: (2-0)/(2-0) = 1. This means that for every increase of 1 in x, there is an increase of 1 in y. Applying this to the given points, we can calculate f(4)-f(2) as 2-0 = 2.

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  • 39. 

    Daerah hasil fungsi  adalah ....

    Correct Answer
    B.
  • 40. 

    Asimtot tegak dari  adalah ....

    • A.

      X=-1

    • B.

      X=0

    • C.

      X=1

    • D.

      Y=-1

    • E.

      Y=1

    Correct Answer
    C. X=1
    Explanation
    The equation represents a set of vertical lines passing through x=1. This means that for any value of y, the x-coordinate will always be 1. Therefore, the correct answer is x=1.

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  • 41. 

    Grafik  ditunjukkan oleh ...

    Correct Answer
    D.
  • 42. 

    Grafik  ditunjukkan oleh ...

    Correct Answer
    C.
  • 43. 

    Asimtot tegak dari  adalah ....

    • A.

      X=-1

    • B.

      X=0

    • C.

      X=1

    • D.

      Y=-1

    • E.

      Y=1

    Correct Answer
    A. X=-1
    Explanation
    The given equation represents the vertical asymptote of the function. It shows that as x approaches -1, the function approaches infinity or negative infinity. This means that the function has a vertical line at x=-1 where it has a discontinuity and the graph approaches infinity or negative infinity as it gets closer to this vertical line.

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  • 44. 

    Daerah hasil fungsi  adalah ....

    Correct Answer
    B.
  • 45. 

    Asimtot tegak dari  adalah ....

    • A.

      X=-1

    • B.

      X=0

    • C.

      X=1

    • D.

      Y=-1

    • E.

      Y=1

    Correct Answer
    B. X=0
    Explanation
    The equation given represents a set of vertical asymptotes. An asymptote is a line that a curve approaches but never touches. In this case, the curve approaches the vertical line x=0 but never intersects it. Therefore, x=0 is the correct answer as it represents the vertical asymptote for the given equation.

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  • 46. 

    Daerah hasil fungsi  adalah ....

    Correct Answer
    D.
  • 47. 

    Daerah hasil fungsi  adalah ....

    Correct Answer
    D.
  • 48. 

    Grafik fungsi  melalui titik (0,-2) dan (3,-54). Tentukan nilai f(2)+f(1) ....

    • A.

      -3

    • B.

      3

    • C.

      0

    • D.

      24

    • E.

      -24

    Correct Answer
    E. -24
    Explanation
    The given question asks to determine the value of f(2) + f(1) based on the graph of the function passing through the points (0,-2) and (3,-54). Since the graph of the function is not provided, we cannot directly determine the value of f(2) + f(1). Therefore, an explanation for the given correct answer (-24) is not available.

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  • 49. 

    Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai  ....

    • A.

      0

    • B.

      6

    • C.

      8

    • D.

      16

    • E.

      26

    Correct Answer
    D. 16
    Explanation
    The value of the function at x=2 is 2, which means that the function passes through the point (2,2). Since the function also passes through the point (0,0), we can conclude that the function is a straight line with a slope of 1. Therefore, when x=4, the value of the function will be 4 times the slope, which is 4*1=4. Hence, the correct answer is 16.

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  • 50. 

    Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai  ....

    • A.

      0

    • B.

      6

    • C.

      8

    • D.

      16

    • E.

      26

    Correct Answer
    E. 26
    Explanation
    The value of the function at x=2 is 2, and the function passes through the point (0,0). This means that the function is increasing as x increases. Therefore, when x=8, the value of the function will be greater than 2. The only option that is greater than 2 is 26.

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  • Apr 21, 2023
    Quiz Edited by
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  • Sep 28, 2016
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    Catherine Halcomb
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