Relations and Functions - Online Test

Q1.
The range of the function  is

Answer : Option B
Explaination / Solution:
No Explaination.


Q2.
On the set Z of all integers define f ; Z  Z as follows : f ( x ) = x/2 if x is even , and f ( x ) = 0 if x is odd , then f is

Answer : Option D
Explaination / Solution:
No Explaination.


Q3.
Let f : R R be defined by f (x) = 3x – 4, then  (x) is equal to

Answer : Option B
Explaination / Solution:
No Explaination.


Q4. In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by
Answer : Option C
Explaination / Solution:
No Explaination.


Q5.
If f (x) , then equals

Answer : Option D
Explaination / Solution:
No Explaination.


Q6.
If  and  then AB contains

Answer : Option B
Explaination / Solution:
No Explaination.


Q7.
If f(x) = ,then f (y) =

Answer : Option B
Explaination / Solution:
No Explaination.


Q8. The function f (x) = log satisfies the equation
Answer : Option D
Explaination / Solution:
No Explaination.


Q9. If f (x + y + z) = f (x) f (y ) f (z) for all x , y z and if f (2) = 4, f’ (0) = 5 and f (0) 0, then f’ (2) is equal to
Answer : Option A
Explaination / Solution:
No Explaination.


Q10.
The domain of the function  is

Answer : Option D
Explaination / Solution:
No Explaination.