Uts Matematika Peminatan Kelas 10

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| By Catherine Halcomb
Catherine Halcomb
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Quizzes Created: 1522 | Total Attempts: 6,780,822
| Attempts: 597 | Pertanyaan: 50 | Updated: Apr 21, 2023
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1. Grafik f left parenthesis x right parenthesis equals k times 2 to the power of x minus 2 end exponentmelalui (2,3). Nilai f(4) = ...

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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Uts Matematika Peminatan Kelas 10 - Quiz

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2. Grafik fungsi f left parenthesis x right parenthesis equals k times a to the power of x melalui titik (0,1 half) dan (2,2). Tentukan nilai 3 times f left parenthesis 4 right parenthesis minus 4 times f left parenthesis 2 right parenthesis ....

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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3. Grafik f left parenthesis x right parenthesis equals 2 to the power of x ditunjukkan oleh ...

Explanation

not-available-via-ai

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4. Daerah hasil fungsi y equals 3 plus 3 to the power of 2 x minus 1 end exponent adalah ...

Explanation

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5. Asimtot tegak dari f left parenthesis x right parenthesis equals squared log open parentheses x plus 2 close parentheses minus 1 adalah ....

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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6. Grafik f left parenthesis x right parenthesis equals negative open parentheses 1 half close parentheses to the power of x ditunjukkan oleh ...

Explanation

not-available-via-ai

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7. Sketsa grafik fungsi y equals 4 minus 4 times 2 to the power of x ditunjukkan oleh ...

Explanation

not-available-via-ai

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8. Asimtot tegak dari f left parenthesis x right parenthesis equals cubed log open parentheses x minus 3 close parentheses plus 1 adalah ....

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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9. Grafik fungsi f left parenthesis x right parenthesis equals k times a to the power of x melalui titik (0,1 half) dan (2,2). Tentukan nilai f(4)-f(2) ....

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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10. Grafik f left parenthesis x right parenthesis equals k times 2 to the power of x plus 2 end exponentmelalui (0,8). Nilai f(-1) = ...

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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11. Grafik f left parenthesis x right parenthesis equals k times 2 to the power of xmelalui (2,12). Nilai f(1) = ...

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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12. Asimtot datar grafik fungsi f left parenthesis x right parenthesis equals 3 times 3 to the power of x plus 3 adalah ....

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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13. Grafik f left parenthesis x right parenthesis equals k times 2 to the power of x minus 1 end exponentmelalui (2,6). Nilai f(4) = ...

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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14. Asimtot datar grafik fungsi f left parenthesis x right parenthesis equals 3 left parenthesis 3 to the power of x plus 2 right parenthesis adalah ....

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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15. Asimtot tegak dari f left parenthesis x right parenthesis equals squared log open parentheses x minus 2 close parentheses adalah ....

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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16. Grafik dari fungsi y equals 2 to the power of x minus 2 end exponent paling sesuai dengan gambar ....

Explanation

not-available-via-ai

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17. Asimtot tegak dari f left parenthesis x right parenthesis equals cubed log open parentheses x plus 3 close parentheses minus 2 adalah ....

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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18. Grafik f left parenthesis x right parenthesis equals negative left parenthesis 2 right parenthesis to the power of x ditunjukkan oleh ...

Explanation

not-available-via-ai

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19. Pernyataan berikut berhubungan dengan grafik f left parenthesis x right parenthesis equals 3 to the power of 2 minus x end exponent minus 4.
  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 ....

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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20. Grafik fungsi f left parenthesis x right parenthesis equals k times a to the power of x melalui titik (0,-2) dan (3,-54). Tentukan nilai f(2)+f(1) ....

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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21. Jika f left parenthesis x squared plus 1 right parenthesis equals squared log space x space plus 1 , nilai f(257)+f(17) = ....

Explanation

The given question is incomplete and not readable. An explanation cannot be generated.

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22. Asimtot tegak dari f left parenthesis x right parenthesis equals squared log open parentheses x plus 2 close parentheses minus 1 adalah ....

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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23. Asimtot tegak dari f left parenthesis x right parenthesis equals squared log open parentheses x plus 1 close parentheses space plus space 1 adalah ....

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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24. Daerah hasil fungsi f left parenthesis x right parenthesis equals 3 to the power of 2 x plus 1 end exponent minus 4 adalah ....

Explanation

not-available-via-ai

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25. Asimtot datar grafik fungsi f left parenthesis x right parenthesis equals 3 to the power of x plus 2 adalah ....

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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26. Pernyataan berikut berhubungan dengan grafik f left parenthesis x right parenthesis equals 3 to the power of x plus 2 end exponent plus 4.
  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 ....

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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27. Grafik fungsi f left parenthesis x right parenthesis equals k times a to the power of x melalui titik (0,1 half) dan (2,2). Tentukan nilai 4 times f left parenthesis 4 right parenthesis minus 3 times f left parenthesis 2 right parenthesis ....

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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28. Asimtot datar grafik fungsi f left parenthesis x right parenthesis equals 5 times 3 to the power of x adalah ....

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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29. Asimtot tegak dari f left parenthesis x right parenthesis equals cubed log space x space plus space 1 adalah ....

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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30. Daerah hasil fungsi f left parenthesis x right parenthesis equals 4 minus 3 to the power of 2 x minus 1 end exponent adalah ....

Explanation

not-available-via-ai

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31. Jika f left parenthesis x squared plus 1 right parenthesis equals squared log space x space plus 1 , nilai f(17)+f(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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32. Daerah hasil fungsi y equals 3 minus 3 to the power of 2 x minus 1 end exponent adalah ...

Explanation

not-available-via-ai

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33. Asimtot tegak dari f left parenthesis x right parenthesis equals squared log open parentheses x minus 1 close parentheses space plus space 1 adalah ....

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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34. Asimtot datar grafik fungsi f left parenthesis x right parenthesis equals 2 left parenthesis 3 to the power of x plus 2 right parenthesis adalah ....

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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35. Daerah hasil fungsi f left parenthesis x right parenthesis equals 3 to the power of 2 x minus 1 end exponent minus 4 adalah ....

Explanation

not-available-via-ai

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36. Persamaan grafik fungsi pada gambar berikut adalah ....

Explanation

not-available-via-ai

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37. Grafik f left parenthesis x right parenthesis equals open parentheses 1 half close parentheses to the power of x ditunjukkan oleh ...

Explanation

not-available-via-ai

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38. Grafik dari fungsi y equals 3 to the power of negative x end exponent paling sesuai dengan gambar ....

Explanation

not-available-via-ai

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39. Daerah hasil fungsi f left parenthesis x right parenthesis equals 4 minus 3 to the power of 2 x plus 1 end exponent adalah ....

Explanation

not-available-via-ai

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40. Jika f left parenthesis x squared plus 1 right parenthesis equals squared log space x space plus 1 , nilai f(5)+f(2) = ....

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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41. Daerah asal dari grafik y equals squared log open parentheses x squared minus 7 x plus 10 close parentheses adalah ....

Explanation

The correct answer is 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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42. Persamaan grafik fungsi seperti tampak pada gambar adalah ....

Explanation

not-available-via-ai

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43. Grafik f left parenthesis x right parenthesis equals k times 2 to the power of x plus 1 end exponentmelalui (2,4). Nilai f(3) = ...

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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44. Daerah asal dari grafik y equals squared log open parentheses negative x squared plus 3 x plus 10 close parentheses adalah ....

Explanation

The correct answer is -2

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45. Daerah asal dari grafik y equals squared log open parentheses x squared minus 3 x minus 10 close parentheses adalah ....

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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46. Persamaan grafik fungsi pada gambar berikut adalah ....

Explanation

not-available-via-ai

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

Explanation

not-available-via-ai

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48. Pernyataan yang benar tentang grafik fungsi f left parenthesis x right parenthesis equals to the power of 5 log space 5 x space plus space 1 adalah ....

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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49. Daerah hasil fungsi y equals 3 to the power of 2 x minus 1 end exponent adalah ...

Explanation

not-available-via-ai

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50. Persamaan grafik fungsi berikut yang mungkin adalah ....

Explanation

not-available-via-ai

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Grafik melalui (2,3). Nilai f(4) = ...
Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai...
Grafik  ditunjukkan oleh ...
Daerah hasil fungsi  adalah ...
Asimtot tegak dari  adalah ....
Grafik  ditunjukkan oleh ...
Sketsa grafik fungsi  ditunjukkan oleh ...
Asimtot tegak dari  adalah ....
Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai...
Grafik melalui (0,8). Nilai f(-1) = ...
Grafik melalui (2,12). Nilai f(1) = ...
Asimtot datar grafik fungsi  adalah ....
Grafik melalui (2,6). Nilai f(4) = ...
Asimtot datar grafik fungsi  adalah ....
Asimtot tegak dari  adalah ....
Grafik dari fungsi  paling sesuai dengan gambar ....
Asimtot tegak dari  adalah ....
Grafik  ditunjukkan oleh ...
Pernyataan berikut berhubungan dengan grafik .Grafik fungsi f(x)...
Grafik fungsi  melalui titik (0,-2) dan (3,-54). Tentukan...
Jika  , nilai f(257)+f(17) = ....
Asimtot tegak dari  adalah ....
Asimtot tegak dari  adalah ....
Daerah hasil fungsi  adalah ....
Asimtot datar grafik fungsi  adalah ....
Pernyataan berikut berhubungan dengan grafik .Grafik fungsi f(x)...
Grafik fungsi  melalui titik (0,) dan (2,2). Tentukan nilai...
Asimtot datar grafik fungsi  adalah ....
Asimtot tegak dari  adalah ....
Daerah hasil fungsi  adalah ....
Jika  , nilai f(17)+f(5) = ....
Daerah hasil fungsi  adalah ...
Asimtot tegak dari  adalah ....
Asimtot datar grafik fungsi  adalah ....
Daerah hasil fungsi  adalah ....
Persamaan grafik fungsi pada gambar berikut adalah ....
Grafik  ditunjukkan oleh ...
Grafik dari fungsi  paling sesuai dengan gambar ....
Daerah hasil fungsi  adalah ....
Jika  , nilai f(5)+f(2) = ....
Daerah asal dari grafik  adalah ....
Persamaan grafik fungsi seperti tampak pada gambar adalah ....
Grafik melalui (2,4). Nilai f(3) = ...
Daerah asal dari grafik  adalah ....
Daerah asal dari grafik  adalah ....
Persamaan grafik fungsi pada gambar berikut adalah ....
Perhatikan grafik fungsi berikut. Pernyataan yang benar tentang grafik...
Pernyataan yang benar tentang grafik fungsi  adalah ....
Daerah hasil fungsi  adalah ...
Persamaan grafik fungsi berikut yang mungkin adalah ....
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