MHT CET 2022 Mathematics question

If R denotes the set of all real numbers then the function f : R R defined by f(x) = |x| is

(A)injective and surjective
(B)neither injective nor surjectiveCorrect
(C)injective
(D)surjective

Answer: (B)

Solution

Injective test: but , so is not one-one. Surjective test: for all , so negative real numbers (e.g. ) in the codomain have no pre-image; the range is \ne$

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Question ID VK-094027