Sets, Relations and Functions Test

Result

Sets, Relations and Functions Test - 32

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Weekly Quiz Competition

Question 1
4 / -1

The range of f(x) = 6^x + 3^x + 6^-x + 3^x + 2 is subset of.....

A

B

C

D

Solution
Question 2
4 / -1

If f is satisfied the condition 2 f(x) + f(1 - x) = x² , x ∈ R then f(x) = .....

A

B

C

D

Solution
Question 3
4 / -1

If f : R → R, f(x) = x² + 1 then f ^-1(-2) ∪ f ^-1(17)......

A
{ ± 4}

B
{ ± 1, ± 4}

C
{4}

D
{1,4}

Solution
Question 4
4 / -1

For real x, if f (x)= x³ + 5x + 1, then

A
f is one-one but not onto R

B
f is onto R but not one-one

C
f is one-one and onto R

D
f is neither one-one nor onto R

Solution
Question 5
4 / -1

The domain of the function F(x) = √cosx is

A

B

C

D

Solution
Question 6
4 / -1

If f(x) = 3 - x, where - 4 ≤ x ≤ 4, then the domain of loge [ f(x)] is

A
[- 4, 4]

B
(-∞,3]

C
(-∞,3)

D
[-4,3)

Solution
Question 7
4 / -1

A
[0,π]

B

C

D

Solution
Question 8
4 / -1

If f : (-1,1) → B is a function defined by

A

B

C

D

Solution
Question 9
4 / -1

If f_k(x)= 1/k (sin^k x + cos^k x), where X ∈ R and k ≥ 1, then f₄ (x) - f₆ (x) is equal to

A

B

C

D

Solution
Question 10
4 / -1

If f : N → Y is a function defined as f(x)= 4x + 3, where Y = {∀ ϵ N : y= 4x + 3 for some x ϵ N}. Then, inverse of f is

A

B

C

D

Solution