Relations and Functions Test

Result

Relations and Functions Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following relations is a function?

A
R = {(x, y) : x² + y² ≤ 9} on R

B
A = {1, 2, 3}, B = {1, 2, 3, 4, 5} and R = {(x, y) : 5x + 2y} is a prime number on A .

C
A = {(1, 2, 3}, B = {1, 2, 3, 4, 5, 6, 7} and R = {(x, y) | y =x² – 3x + 3} on A

D
None of these
Question 2
1 / -0

The domain of the function f = {(1, 3), (3, 5), (2, 6)} is

A
1, 3 and 2

B
{1, 3, 2}

C
{3, 5, 6}

D
3, 5 and 6
Question 3
1 / -0

A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relations, which can be defined from A to B, is

A
2⁵

B
2¹⁰ – 1

C
2⁷

D
None of these
Question 4
1 / -0

If f(x + y) = f(x) + f(y) and f(1) + f(2) + f(3) + ……. + f(10) = 1, find the value of f(1).

A
0

B
1/55

C
1

D
1/45