Functions, Class 11 Mathematics Sample Papers

1. There will be total 15  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. Find the range for the function f(x) = |X| where x is a real number.

  all positive real numbers

 all real numbers less than or equal to zero.

 all integers

 all natural numbers

Question 1 of 15

2. If X = {1, 2, 3, 4}, Y = {1, 2, 3,…., 20}, and f: X –> Y be the correspondence which assigns each element in X the value equal to its square, then the domain, co-domain and range of f is

 Domain = {1, 2, …, 20}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, 4}

 Domain = {1, 4, 9, 16}, Range = {1, 2, 3, 4}, Co domain = {1, 2, 3, …, 16}

 Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, …, 20}

 Domain = {1, 2, 3, 4}, Range = {1, 4, 9, 16}, Co domain = {1, 2, 3, …, 16}

Question 2 of 15

3. Which of the following is not true?

  Every relation from the set A to the set B is a function from the set A to the set B.

 If f is a function from A to B and (a, b) ∈ f, then f(a) = b, where a is called the pre-image of b under f.

 Every function from the set A to the set B is a relation from the set A to the set B

  If f is a function from A to B and (a, b) ∈ f, then f(a) = b, where b is called the image of a under f.

Question 3 of 15

4. The domain of the function f(x)= is all real x such that

  x<2

 -2

 -2 ≤ x ≤ 2

 x>-2

Question 4 of 15

5. Let X = {1, 2, 3, 4}, Y = {1, 2, …, 10} and f : X –> Y be defined by

f(x) = 2x + 1, x ∈ X. Then the range of f is

 {1, 2,…., 10}

 {5, 6, 7, 8, 9, 10}

 {3, 5, 7, 9}

  {1, 2, 3, 4}

Question 5 of 15

6. If f(x) = x² – x + 1; g(x) = 7x – 3, be two real functions then (f + g)(3) is

 25

 3

 7

 18

Question 6 of 15

7. Which of the following relations is not a function?

 R= {(1,2), (3,4),(2,1),(5,1)}

 R={(1,2), (1,4)(3,1),(5,1)}

 R= {(1,2), (3,4)(2,1),(5,2)}

 R= {(2,1), (4,4)(3,1),(5,1)}

Question 7 of 15

8. The following arrow diagram of the function f : A –> A be defined as

  f (1) = 1, f (2) = 2, f(3) = 3, f(4) = 4, f(5) = 5

 f (1) = 2, f(2) = 2, f(3) = 5, f(4) = 1, f(5) = 4

 f (1) = 2, f (3) = 5, f(4) = 1, f(5) = 4

 f(1) = 4, f (2) = 1, f(3) = 2, f(4) = 5, f(5) = 3

Question 8 of 15

9. If A = {1,2,3}, B = {a,b,c}, which of the following is a function?

 R = {(1, c), (2, b), (2, c)}

 R = {(1, b), (2, c), (3, a)}

 R = {(1,b), (1, c), (3, a)}

 R = {1,,a), (2, a), (1, c)}

Question 9 of 15

10. Which of the relations is not a function?

 one many

 domain = codomain

  many one

 one-one

Question 10 of 15

11. The domain and range of the function f: R → R defined by:
f = {(x+1, x+5): x ∈ {0, 1, 2, 3, 4, 5}}

 Domain = {2, 3, 4, 5, 6}; Range = {6, 7, 8, 9, 10}

 Domain = R ; Range = R

 Domain = {1, 2, 3, 4, 5, 6}; Range = {5, 6, 7, 8, 9, 10}

 Domain = {1, 2, 3, 4, 5}; Range = {5, 6, 7, 8, 9}

Question 11 of 15

12. Identify the domain and range of the function f(x), defined in N, as below:

 {1, 2, 4} and {2, 4, 6}

  {1, 2, 3} and {2, 4, 6}

  {1, 3, 5} and {2, 4, 6}

 {1, 2, 3, 4, 5} and {2, 3, 5}

Question 12 of 15

13. If A = {2, 4, 6, 8} and B = {2, 3, 5, 7, 9}. Which of the following is a function from A to B?

  f : A → B defined by f(2) = 2, f(4) = 3, f(2) = 3

 f : A → B defined by f(2) = 2, f(4) = 3, f(4) = 2

 f : A → B defined by f(2) = 2, f(4) = 3, f(6) = 5, f(8) = 7

 f : A → B defined by f(2) = 2, f(4) = 2, f(2) = 3, f(8) = 9

Question 13 of 15

14. Find the domain of the function f(x) = x |x|

  R

 R+

 R – {0}

 R – {-1}

Question 14 of 15

15. Find the domain of the function f(x) =

  R – {-4}

 R

 R – {4}

  R+

Question 15 of 15

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