The function f: [0, ∞) → [0, ∞) defined by f(x) = x² is:
The function f: [0, ∞) → [0, ∞) defined by f(x) = x² is:
- A. One-one but not onto
- B. Onto but not one-one
- C. Bijective
- D. Neither one-one nor onto
Answer: C) Bijective
Explanation: On non-negative reals, x₁² = x₂² strictly implies x₁ = x₂, making it one-one. Every non-negative real y has a non-negative real square root √y, making it onto. Thus, it's bijective.
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