Introduction to Functions, Class 12 Mathematics NCERT Solutions

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Let such that f(x) = x | x | then f is

neither injective nor surjective

Injective

bijective

Surjective

Your comments:

Question 1 of 20

2. Let f : R → R defined as f(x) = x be an identity function. Then

range f = R

range f = constant

range f = f

range f = {constant}

Your comments:

Question 2 of 20

3. Let A = {1, 2, 3} and B = {5, 6, 7, 8, 9} and let f(x) = {(1, 8), (2, 7), (3, 6)} then f is

surjective

not a function

Injective

bijective

Your comments:

Question 3 of 20

4. In the mapping above, the function f ₄ is an:

onto and many-one function

into function

onto and one-one function

many-one function

Your comments:

Question 4 of 20

5. Let be defined by Then, the function f is

bijective

Surjective

neither injective nor surjective

Injective

Your comments:

Question 5 of 20

6. A function f: R → R defined as f(x) = x⁴ is

neither one-one nor onto

many-one and onto

one-one but not onto

one-one and onto

Your comments:

Question 6 of 20

7. A function f: X → Y is bijective if and only if

f is one-one only

f is onto only

f is many-one and onto

f is one-one and onto

Your comments:

Question 7 of 20

8. A function f: X → Y is injective if and only if

A

B

C

D

Your comments:

Question 8 of 20

9. A function f: R → R defined as f(x) = 5x is

Many-one and onto

one-one but not onto

neither one-one nor onto

one-one and onto

Your comments:

Question 9 of 20

10. A function f: X → Y is surjective if and only if

X = Y

f(X) = Y

X is a singleton set

Y is a singleton set

Your comments:

Question 10 of 20

11. The range of function f:Rrightwards arrowR defined by f(x) =x²is

W

Non - negative real numbers

N

R

Your comments:

Question 11 of 20

12. Let f : R → R defined as f(x) = 5 be a constant function. Then

range f = 5

range f = Φ

range f = R

range f = {5}

Your comments:

Question 12 of 20

13. Graph of y = x³ represents which type of function

neither one-one nor onto

many-one and onto

one-one but not onto

one-one and onto

Your comments:

Question 13 of 20

14. Consider a parabola with its axis along the Y-axis. The corresponding function is __-

neither one-one nor onto

many-one and onto

one-one but not onto

one-one and onto

Your comments:

Question 14 of 20

15. Let be a function defined as f(x) = x⁴.then

Insufficent information

It is into in some intervals of the domain

It is one-one

It is not one-one

Your comments:

Question 15 of 20

16. The function, f(x) = 2x + 1 is

It is not surjective

It is surjective

It is surjective in some intervals of the domain

Insufficent information

Your comments:

Question 16 of 20

17. The function defined by  is a

polynomial

Power function

Rational function

modulus function

Your comments:

Question 17 of 20

18. Let f: {1, 2, 3} → {1, 2, 3} be an onto function. Then, f is

onto only

one-one and onto

not one one

insufficient information

Your comments:

Question 18 of 20

19. A function f: Z → Z defined as f(x) = x³ is

many-one and onto

one-one but not onto

neither one-one nor onto

one-one and onto

Your comments:

Question 19 of 20

20. Let X = R – {5} and Y = R – {4}, consider the function defined by then f is

into function

neither an into function nor an onto function

both onto function and a one-one function

onto function

Your comments:

Question 20 of 20

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