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7.MCQs on Functions
Class 11 • Mathematics • NCERT
MCQs on Functions
[ Embed MCQ Solution / Discussion Video Here ]
This MCQ practice set is based strictly on NCERT Class 11 Relations & Functions. It helps students revise key concepts and avoid common mistakes in exams.
Instructions
- Choose the correct option.
- All questions are strictly NCERT-based.
- Answer key is given at the end.
MCQs
- A function f : A → B assigns
A. One element of A to many elements of B
B. Many elements of A to one element of B
C. Exactly one element of B to each element of A
D. Exactly one element of A to each element of B - The domain of a function f : A → B is
A. A
B. B
C. f(A)
D. A ∩ B - The range of a function is always a subset of
A. Domain
B. Codomain
C. ℝ
D. ℕ - The function f(x) = 2x + 3 is
A. Not one-one
B. One-one
C. Not onto
D. Constant - The function f(x) = x², f : ℝ → ℝ is
A. One-one
B. Onto
C. Bijective
D. Neither one-one nor onto - A function which is both one-one and onto is called
A. Identity
B. Invertible
C. Constant
D. Polynomial - The inverse of a function exists only if the function is
A. One-one
B. Onto
C. One-one and onto
D. Constant - If I(x) = x is the identity function, then f ∘ I equals
A. I
B. f
C. 0
D. f⁻¹ - If f(x) = x + 2 and g(x) = 3x, then (f ∘ g)(x) is
A. 3x + 2
B. x + 6
C. 5x
D. 3x² - Composition of functions is
A. Always commutative
B. Sometimes commutative
C. Never commutative
D. Always associative only - The inverse of f(x) = 5x is
A. 5x
B. x − 5
C. x/5
D. 1/5 - Which of the following functions has no inverse on ℝ?
A. f(x) = x³
B. f(x) = x
C. f(x) = x²
D. f(x) = 2x + 1 - If f ∘ g is defined, then
A. Domain of f ⊆ domain of g
B. Range of g ⊆ domain of f
C. Domain of g ⊆ range of f
D. Range of f ⊆ domain of g - The range of the identity function on set A is
A. ∅
B. A
C. {0}
D. ℝ - All bijective functions are
A. Onto only
B. One-one only
C. Invertible
D. Constant
✅ Show Answer Key
- C
- A
- B
- B
- D
- B
- C
- B
- A
- C
- C
- C
- B
- B
- C
© Aviate Learning – Relations & Functions MCQs (NCERT Class 11)