Functions – Definition, Domain, Range, Types (Injective, Surjective, Bijective)

Grade 11 Maths Higher — Functions – Definition, Domain, Range, Types (Injective, Surjective, Bijective): 25 practice questions with instant scoring and explanations.

1. A function f: A → B is defined as:
2. An injective function is also called:
3. A surjective function is also called:
4. A function that is both injective and surjective is called:
5. For f(x) = 2x + 3, where x ∈ ℝ, the range of f is:
6. The function f(x) = |x| is:
7. If f: {1, 2, 3} → {a, b, c, d} with f(1) = a, f(2) = b, f(3) = c, then f is:
8. For a function f to have an inverse, f must be:
9. The domain of f(x) = 1/(x-2) is:
10. The domain of f(x) = √(4 - x²) is:
11. If f: ℝ → ℝ, f(x) = x², the range of f is:
12. For f(x) = x + 5 and g(x) = 2x, which statement is true?
13. The function f: ℕ → ℕ, f(x) = x² is:
14. If f(x) = 3x - 2, then f(f(x)) =
15. The domain of f(x) = log(x - 3) is:
16. A constant function f(x) = c is:
17. For f: {1, 2, 3} → {a, b}, the maximum number of injective functions is:
18. The range of f(x) = sin(x) is:
19. If f: A → B is bijective and |A| = 5, then |B| =
20. The number of bijective functions from a set with 3 elements to itself is:
21. The function f(x) = e^x is:
22. For f: ℝ → ℝ, f(x) = x³, the function is:
23. The domain of f(x) = √(x² - 4) is:
24. If f is a function from A to B and g is a function from B to C, then g ∘ f is a function from:
25. For f: ℕ → ℕ, f(x) = 2x, the function is: