Domain, Codomain & Range MCQs (CBSE Class 11 NCERT)

Domain, Codomain & Range MCQs Class 11

Domain, Codomain & Range MCQs (CBSE Class 11 NCERT)

Class: 11 | Subject: Mathematics | Section: Sets & Functions
Topic: Domain, Codomain & Range – NCERT Based MCQs
Aligned with CBSE Board Examination Standard

Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination practice. Each question includes a detailed concept‑clearing explanation.

1. Domain of a function refers to:

A) Set of outputs
B) Set of inputs
C) Graph values
D) Range

Answer: B
Explanation: Domain is the set of all permissible input values.

2. Codomain is:

A) Actual outputs
B) Possible outputs set
C) Inputs
D) Graph

Answer: B
Explanation: Codomain contains all values where outputs may lie.

3. Range is:

A) Subset of codomain
B) Equal to domain
C) Universal set
D) None

Answer: A
Explanation: Range contains actual outputs obtained.

4. Domain of f(x)=1/x is:

A) All real numbers
B) R − {0}
C) Positive numbers
D) Integers

Answer: B
Explanation: Division by zero is undefined.

5. Domain of √x is:

A) R
B) x ≥ 0
C) x ≤ 0
D) Integers

Answer: B
Explanation: Square root defined for non‑negative values.

6. Range of x² in R is:

A) R
B) x ≥ 0
C) x ≤ 0
D) Integers

Answer: B
Explanation: Squares are non‑negative.

7. Domain of polynomial functions:

A) Integers only
B) All real numbers
C) Positive numbers
D) Natural numbers

Answer: B
Explanation: Polynomials defined ∀ real x.

8. Codomain must be:

A) Subset of range
B) Superset of range
C) Equal always
D) None

Answer: B
Explanation: Range ⊆ Codomain.

9. If range = codomain, function is:

A) Into
B) Onto
C) Constant
D) Many‑one

Answer: B
Explanation: Surjective mapping.

10. Domain of log(x):

A) x>0
B) x≥0
C) R
D) x<0

Answer: A
Explanation: Log defined only for positive numbers.

11. Range of constant function:

A) One value
B) Many values
C) Infinite
D) None

Answer: A
Explanation: Output remains fixed.

12. Domain of rational function excludes:

A) Numerator zero
B) Denominator zero
C) Integers
D) Reals

Answer: B
Explanation: Division by zero undefined.

13. Range of √x is:

A) x≥0
B) R
C) x≤0
D) Integers

Answer: A
Explanation: Square root outputs non‑negative values.

14. Domain of sin x:

A) R
B) Positive only
C) Integers
D) None

Answer: A
Explanation: Trigonometric functions defined ∀ real x.

15. Range of sin x:

A) R
B) [−1,1]
C) [0,1]
D) Integers

Answer: B
Explanation: Sine values lie between −1 and 1.

16. Domain of exponential function:

A) R
B) Positive only
C) Integers
D) None

Answer: A
Explanation: Defined for all real inputs.

17. Range of e^x:

A) R
B) (0,∞)
C) [0,∞)
D) Integers

Answer: B
Explanation: Exponential never zero or negative.

18. Codomain is fixed by:

A) Function rule
B) Definition of mapping
C) Graph
D) Range

Answer: B
Explanation: Specified while defining function.

19. If range ⊂ codomain, function is:

A) Onto
B) Into
C) Bijective
D) Identity

Answer: B
Explanation: Not all codomain elements used.

20. Domain of |x| is:

A) x≥0
B) R
C) Integers
D) Natural numbers

Answer: B
Explanation: Absolute value defined for all real numbers.

Domain, Codomain & Range MCQs (CBSE Class 11 NCERT)

Domain, Codomain & Range MCQs (CBSE Class 11 NCERT)

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