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Let \(A=\{x \in \mathbb{R}:-1 \leq x \leq 1\} \& f: A \rightarrow A\) be a mapping defined by \(f(x)=x|x|\). Then \(f\) is
(A) injective but not surjective
(B) surjective but not injective
(C) neither injective nor surjective
(D) bijective
Ans: (D)

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