Limits, Continuity and Differentiability Test

Result

Limits, Continuity and Differentiability Test - 39

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Weekly Quiz Competition

Question 1
4 / -1

The graph of the function y = f(x) is symmetrical about the line x = 2, then

A
f(x) = –f(–x)

B
f(2 + x) = f(2 – x)

C
f(x) = f(–x)

D
f(x + 2) = f(x – 2)

Solution
Question 2
4 / -1

A
x

B
x + 1

C
x – 1

D
1 – x

Solution
Question 3
4 / -1

Let x be a non-zero rational number and y be an irrational number. Then xy is

A
Rational

B
Irrational

C
Non-zero

D
None of these

Solution
Question 4
4 / -1

Mapping f : R → R which is defined as f(x) = cos x, x ∈ R will be

A
Neither one-one nor onto

B
One-one

C
Onto

D
One-one onto

Solution
Question 5
4 / -1

Which of the four statements given below is different from others ?

A
f : A → B

B
f : x → f(x)

C
f is mapping of A into B

D
f is a function of A into B
Question 6
4 / -1

Set A has 3 elements and set B has 4 elements.The number of injection that can be defined from A to B is

A
144

B
12

C
24

D
64

Solution
Question 7
4 / -1

The function f : R → R defined by f (x) = e^x is

A
Onto

B
Many-one

C
One-one and into

D
Many one and onto

Solution
Question 8
4 / -1

Which one of the following is a bijective function on the set of real numbers ?

A
2x – 5

B
|x|

C
x²

D
x² + 1

Solution
Question 9
4 / -1

If R denotes the set of all real numbers then the function f : R → R defined as f(x) = [x] will be

A
One-one only

B
Onto only

C
both one-one and Onto

D
Neither one-one nor onto

Solution
Question 10
4 / -1

A
Surjection

B
Bijection

C
One-one

D
None of these