CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Relations and Functions

Let a function f : (0, ∞) → [0, ∞) be defined by \(f\left( x \right) = \left| {1 - \frac{1}{x}} \right|\). Then f is:

1
Not injective but it is surjective
2
Injective only
3
Neither injective nor surjective
4
Both injective as well as surjective
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