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Let a function f: (0, ∞) → [0, ∞) be defined by f(x) = |1-1/x|. Then f is :

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Let a function f: (0, ∞) → [0, ∞) be defined by  f(x) = |1-1/x|.  Then f is :

(1)  not injective but it is surjective 

(2)  neither injective nor surjective

(3)  both injective as well as surjective

(4)  injective only

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Best answer

Correct option  (1) not injective but it is surjective

Explanation:

Range is [0,∞)

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