Functions – Types (One-one, Onto, Bijective), Domain & Range

Grade 11 Maths — Functions – Types (One-one, Onto, Bijective), Domain & Range: 25 practice questions with instant scoring and explanations.

1. A function f: A → B is one-one (injective) if:
2. A function f: A → B is onto (surjective) if:
3. A function is bijective if it is:
4. For f: {1, 2, 3} → {4, 5, 6} defined by f(x) = x + 3, the function is:
5. For f: R → R defined by f(x) = x², the function is:
6. For f: R → [0, ∞) defined by f(x) = x², the function is:
7. For f: [0, ∞) → [0, ∞) defined by f(x) = x², the function is:
8. The domain of f(x) = 1/(x-2) is:
9. The domain of f(x) = √(x-3) is:
10. For f(x) = 2x + 1 with domain {1, 2, 3}, the range is:
11. A function must satisfy:
12. For f: {1, 2, 3} → {a, b} defined by f = {(1,a), (2,b), (3,a)}, the function is:
13. If a function is bijective, then:
14. For f: R → R defined by f(x) = 3x - 2, the function is:
15. For f: N → N defined by f(x) = 2x, the function is:
16. The domain of f(x) = √(x² - 4) is:
17. For f(x) = |x| with domain R, the range is:
18. If f is bijective from A to B, then f⁻¹ is bijective from:
19. The domain of f(x) = log(x) is:
20. For f: Z → Z defined by f(x) = x + 1, the function is:
21. If f(x) = 1/x, then the range of f is:
22. A function f from A to B is NOT well-defined if:
23. For the identity function f: A → A defined by f(x) = x, which is true?
24. The domain of f(x) = √(1 - x²) is:
25. If f: {a, b, c} → {1, 2, 3, 4} is an injective function, then it is: