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

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}

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

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

Question 4 of 20

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

 bijective

  Surjective

 neither injective nor surjective

 Injective

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

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

Question 7 of 20

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

 A

 B

 C

 D

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

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

Question 10 of 20

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

 W

 Non – negative real numbers

 N

  R

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}

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

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

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

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

Question 16 of 20

17. The function defined by  is a

 polynomial

 Power function

 Rational function

 modulus function

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

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

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

Question 20 of 20

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