# Kelas 8 Latihan Relasi Dan Fungsi

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Quizzes Created: 2 | Total Attempts: 8,785
Questions: 20 | Attempts: 8,807  Settings  .

• 1.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

A. Option 1
• 2.

### Himpunan pasangan berurutan berikut yang merupakan korespondensi satu-satu adalah ....

• A.

{(a, 1), (b, 1), (c, 1), (d, 1), (e, 1)}

• B.

{(a, 2), (a, 3), (a, 4), (a, 5)}

• C.

{(a, 5), (b, 4), (c, 3), (b, 2), (a, 2)}

• D.

{(a, 1), (b, 4), (c, 2), (d, 3), (e, 5)}

D. {(a, 1), (b, 4), (c, 2), (d, 3), (e, 5)}
Explanation
The given set {(a, 1), (b, 4), (c, 2), (d, 3), (e, 5)} represents a one-to-one correspondence because each element in the set has a unique pair. In other words, no two elements have the same second element. This means that each first element (a, b, c, d, e) is paired with a different second element (1, 4, 2, 3, 5). Therefore, this set satisfies the condition of being a one-to-one correspondence.

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• 3.

### 1.  Siswa dengan kartu anggota OSIS.2.  Siswa dengan ukuran sepatunya.3.  Negara dengan ibukotanya.4.  Siswa dengan tanggal kelahirannya.Dari pernyataan di atas, yang merupakan korespondensi satu-satu adalah pernyataan ....

• A.

1 dan 2

• B.

1 dan 3

• C.

2 dan 4

• D.

3 dan 4

A. 1 dan 2
Explanation
The statement "Siswa dengan kartu anggota OSIS" corresponds to "Siswa dengan ukuran sepatunya" because both statements involve a student and something that belongs to or is associated with the student. The other statements do not have this one-to-one correspondence.

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• 4.

### Jika diketahui pasangan berurutan sebagai berikut : (2, 5), (4, 7), (5, 7), (7, 5), dan (6, 3), maka pernyataan berikut yang salah adalah ....

• A.

Relasi di atas termasuk pemetaan

• B.

Domain pada relasi di atas {2, 4, 5, 6, 7}

• C.

Kodomain pada relasi di atas {2, 4, 5, 6, 7}

• D.

Range pada relasi di atas {3, 5, 7}

C. Kodomain pada relasi di atas {2, 4, 5, 6, 7}
Explanation
The statement "kodomain pada relasi di atas {2, 4, 5, 6, 7}" is incorrect because the codomain of a relation is the set of all possible outputs or values that the relation can produce. In this case, the codomain should be {3, 5, 7} as these are the possible second elements of the ordered pairs given in the relation. The set {2, 4, 5, 6, 7} does not include all the possible outputs, so it cannot be the codomain.

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• 5.

### Empat orang anak bernama Rio, Andika, Fandi, dan Dimas mempunyai kegemaran olahraga masing-masing sebagai berikut :   Rio gemar voli dan renang, Andika gemar sepak bola dan voli, Fandi gemar basket dan renang, sedangkan Dimas gemar basket dan sepak bola. Anak yang gemar renang, tetapi tidak gemar voli adalah ....

• A.

Rio

• B.

Andika

• C.

Fandi

• D.

Dimas

A. Rio
Explanation
Rio is the correct answer because the question states that the person who likes swimming but does not like volleyball is the answer. Among the four children, Rio is the only one who likes swimming and does not like volleyball.

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• 6.

### Diagram panah di bawah yang menunjukkan hubungan ... dari himpunan A ke himpunan B.

• A.

Kurang dari

• B.

Akar dari

• C.

Dua kali dari

• D.

Setengah dari

D. Setengah dari
Explanation
The correct answer is "Setengah dari". This means that the diagram arrow represents the relationship of "half of" from set A to set B. This implies that the elements in set B are half of the elements in set A.

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• 7.

### Suatu relasi dinyatakan dalam himpunan pasangan berurutan :{ (6, 36), {8, 64), (9, 81), (10, 100) }.Relasi yang menghubungkan dua himpunan tersebut adalah ....

• A.

Pangkat dua dari

• B.

• C.

• D.

Kurang dari

Explanation
The given relation represents a set of ordered pairs where the first element is the input and the second element is the output. In this case, the relation connects two sets: {6, 8, 9, 10} and {36, 64, 81, 100}. The relation between these two sets is the square root of the second set. Therefore, the correct answer is "akar kuadrat dari" which means "square root of" in English.

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• 8.

### Dari gambar Cartesius di bawah yang merupakan pemetaan adalah hanya ....

• A.

(i), (ii), dan (iv)

• B.

(i), (ii), dan (iii)

• C.

(i) dan (ii)

• D.

(i) dan (iii)

B. (i), (ii), dan (iii)
Explanation
The correct answer is (i), (ii), and (iii). This means that the mapping in the Cartesian diagram includes options (i), (ii), and (iii).

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• 9.

### Diketahui P = {2, 3, 4} dan Q = {0, 1, 2, 3}. Banyak pemetaan yang mungkin dari himpunan Q ke P adalah ....

• A.

64

• B.

16

• C.

12

• D.

8

A. 64
Explanation
There are 3 elements in set P and 4 elements in set Q. In a mapping from set Q to set P, each element in set Q can be mapped to any of the 3 elements in set P. Since there are 4 elements in set Q, and each element can be mapped to any of the 3 elements in set P, the total number of possible mappings is 3 multiplied by itself 4 times, which is equal to 3^4 = 81. Therefore, the correct answer is 81.

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• 10.

### Jika A = {faktor dari 8} dan B adalah himpunan bilangan prima yang kurang dari 10, maka banyak korespondensi satu-satu yang mungkin dari A ke B adalah ....

• A.

24

• B.

16

• C.

12

• D.

8

A. 24
Explanation
The set A contains the factors of 8, which are {1, 2, 4, 8}. The set B contains prime numbers less than 10, which are {2, 3, 5, 7}. In order to establish a one-to-one correspondence between A and B, each element in A must be paired with a unique element in B. Since there are 4 elements in A and 4 elements in B, there are 4! = 24 possible one-to-one correspondences between A and B.

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• 11.

### Jika n(P) dan n(Q) masing-masing adalah banyak anggota himpunan P dan banyak anggota himpunan Q. Jika n(P) = 3 dan n(Q) = x, sedangkan banyak pemetaan dari himpunan P ke himpunan Q adalah 64 buah, maka x = ....

• A.

6

• B.

5

• C.

4

• D.

3

C. 4
Explanation
The question states that there are 3 elements in set P and the number of elements in set Q is represented by x. It also mentions that there are 64 mappings from set P to set Q. Since each element in set P can be mapped to any element in set Q, the number of mappings is equal to the product of the number of elements in set P and the number of elements in set Q. Therefore, 3 * x = 64. Solving for x, we get x = 64/3 = 21.33. However, since the number of elements in a set must be a whole number, x should be rounded down to the nearest whole number, which is 21. Therefore, the correct answer is 4.

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• 12.

### Banyak korespondensi satu-satu dari himpunan A ke himpunan B adalah sebanyak 120 buah. Banyak anggota himpunan A adalah ... buah.

• A.

5

• B.

6

• C.

7

• D.

8

A. 5
Explanation
The number of one-to-one correspondences from set A to set B is equal to 120. This means that for each element in set A, there is a unique element in set B that it corresponds to. Since the number of one-to-one correspondences is equal to the number of elements in set A, the answer is 5.

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• 13.

### Diketahui fungsi f(x)= 3x2 – 5. Bayangan dari 5 adalah ....

• A.

220

• B.

110

• C.

80

• D.

70

D. 70
Explanation
The given function is f(x) = 3x^2 - 5. To find the image of 5, we substitute x = 5 into the function. Therefore, f(5) = 3(5)^2 - 5 = 3(25) - 5 = 75 - 5 = 70. Hence, the image of 5 is 70.

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• 14.

### Fungsi f pada R ditentukan dengan rumus  f(x) = 2x – 1. Jika anggota daerah hasilnya 53, maka anggota daerah asal adalah ....

• A.

41

• B.

30

• C.

27

• D.

25

C. 27
Explanation
The given function f(x) = 2x - 1 is used to determine the value of f for a given value of x. The question states that the result of f(x) is 53, and we need to find the original value of x. To find x, we can set up the equation 2x - 1 = 53 and solve for x. Adding 1 to both sides of the equation gives us 2x = 54. Dividing both sides by 2 gives us x = 27. Therefore, the original value of x is 27.

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• 15.

### Diketahui : f(x) = 8x2 -10 x + 7. Nilai f (0,5) = ....

• A.

0

• B.

4

• C.

10

• D.

14

B. 4
Explanation
The given function is f(x) = 8x^2 - 10x + 7. To find the value of f(0.5), we substitute x = 0.5 into the function. Therefore, f(0.5) = 8(0.5)^2 - 10(0.5) + 7 = 4. Hence, the correct answer is 4.

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• 16.

### Gambar di bawah merupakan pemetaan yang mempunyai rumus fungsi ....

• A.

F(x) = 2x2

• B.

F(x) = x2

• C.

F(x) = x + 2

• D.

F(x) = 2x

D. F(x) = 2x
Explanation
The given mapping represents a function with the formula f(x) = 2x. This means that for any value of x, the corresponding value of f(x) is obtained by multiplying x by 2.

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• 17.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

A. Option 1
• 18.

### Jika diketahui domain suatu relasi {2, 3, 4} dan kodomain adalah {5, 6, 7} maka relasi berikut merupakan pemetaan atau fungsi adalah ....

• A.

{ (2 , 5), (3 , 6), (3 , 7)}

• B.

{ (2 , 5), (2 , 6), (2 , 7)}

• C.

{ (2 , 5), (3 , 6), (4 , 7)}

• D.

{ (2 , 5), (3 , 6)}

C. { (2 , 5), (3 , 6), (4 , 7)}
Explanation
The given answer { (2 , 5), (3 , 6), (4 , 7)} represents a mapping or function because it relates each element from the domain {2, 3, 4} to a unique element in the codomain {5, 6, 7}. Each element in the domain is paired with exactly one element in the codomain, satisfying the definition of a function.

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• 19.

### Diketahui suatu fungsi f(x) = 3x - 2 dan g(x) = 4x - 1. Nilai dari 2f(1) - 3g(1) adalah ....

• A.

7

• B.

6

• C.

- 6

• D.

- 7

D. - 7
Explanation
To find the value of 2f(1) - 3g(1), we first need to find the values of f(1) and g(1).
Substituting x = 1 into f(x) = 3x - 2, we get f(1) = 3(1) - 2 = 1.
Substituting x = 1 into g(x) = 4x - 1, we get g(1) = 4(1) - 1 = 3.
Now we can substitute these values into the equation: 2f(1) - 3g(1) = 2(1) - 3(3) = 2 - 9 = -7.
Therefore, the correct answer is -7.

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• 20.

### Suatu fungsi f(x) = 4x -1;  f(a) = - 9   dan f(2) = b. Nilai a - b adalah ....

• A.

- 9

• B.

- 5

• C.

5

• D.

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