Injective Function, Surjective Function and Bijective Function

1.Let f be a function on set A = {1,2,3,4,5} such that f = {(1,2) (2,3),(3,4) (4,2) ,(5, 5) }

• f is one - one function

• f is onto function

• f is bijective function

• none of the above

2.Let f be a function on set A = {1,2,3,4,5} such that f = {(1,2) (2,3),(3,4) (4,x) ,(5, 5) }. If f is bijective function then value of x =

• 5

• 3

• 1

• none of these

3. Let f be a function on set A = {1,2,3,4,5} such that f = {(1,1) (2,2),(3,3) (4,4) ,(5, 5) }

• f is injective but not surjective

• f is surjective but not injective

• f is bijective

• none of the above

4. Let A = {4,5,6,7 } , B = {4,5,6,7 } .f is a one - one function from A to B. Which of the following is correct

• f is into function

• f is bijective function

• f may or may not be bijective function

• question out of syllabus

5. Let A = {7, 8 ,9 } , B = {7 , 8 , 9 } .f is onto function from A to B. Which of the following is correct

• f is not one - one function

• f may be one - one or many one

• f is injective function

• none of the above

6. f: A →B. If f is onto function then

• A=B

• A is subset of B

• Range of f =A

• range of f = B

7. f : A → B . If f is one-one function then

• Number of elements in range of f = n(B)

• n(A) = n(B)

• number of elements in range of f = n(A)

• n(A) > number of elements in range of f

8. f : A → B . If f is bijective function then which of the following is true

• Number of elements in range of f = n(A)

• Number of elements in range of f = n(B)

• n(A) = n(B)

• All of the above

9. f : A → B . If f is a bijective function and n(A) = 6 then which of following is not possible

• Number of elements in the range of f = 6

• n(B) = 6

• n(B) =8

• none of the above

10. If f(a)=f(b) implies that a=b then f is

• not one one

• one one

• not onto

• onto