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The function f : R → ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − 2 1 , 2 1 defined as f(x) = 2 x 1 x + , is

1. injective but not surjective
2. surjective but not injective
3. neither injective nor surjective
4. invertible Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : Function, Page 55, Ex. 5A, Q. No. 23 ] [ JEE Advance, Chapter : Function, Page 20, Ex. 1, ]

Correct answer: surjective but not injective

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