Let \( A=\{x:-1 \leq x \leq 1\} \) and \( f: A \rightarrow A \) suc...

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Let \( A=\{x:-1 \leq x \leq 1\} \) and \( f: A \rightarrow A \) such that \( f(x)=x|x| \), then \( f \) is
(a) a bijection
(b) injective but not surjective
(c) surjective but not injective
(d) neither injective nor surjective
\( \mathrm{P} \)
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