Sets, Relations and Functions Test

Result

Sets, Relations and Functions Test - 39

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

A
0

B
1

C
–1

D
None of these

Solution
Question 2
4 / -1

A

B

C
does not exist ∵f is not one −one

D
does not exist ∵ f is not onto

Solution
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

Let f(x) = − 1 + | x − 1 |, − 1 ≤ x ≤ 3 and g(x) = 2−| x +1|, −2 ≤ x ≤ 2. Then (fog) (x) =

A
x + 1

B
− 1 − x

C
x − 1

D

Solution
Question 5
4 / -1

A
[1, ∞)

B
[2, ∞)

C
[3, ∞)

D
None of these

Solution
Question 6
4 / -1

If the function f: [1, ∞) → [1, ∞) is defined by f(x) = 2x(x −1), then f⁻¹(x) is

A

B

C

D
Not defined

Solution
Question 7
4 / -1

The domain of definition of the function y(x) given by the equation 2^x + 2^y = 2 is

A
0 < x ≤ 1

B
0 ≤ x ≤ 1

C
− ∞ < x ≤ 0

D
− ∞ < x < 1

Solution
Question 8
4 / -1

Let f(θ) = sin θ (sin θ + sin 3θ), then f(θ)

A
≥ 0 only when θ ≥ 0

B
≤ 0 for all θ

C
≥ 0 for all real θ

D
≤ 0 only when θ ≤ 0

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

A
[0,1]

B

C
(0,1)

D
None of these

Solution