Let A= x:-1 1 and f: A A such that f(x)=x|x|, then f is: - Vidyadip

MCQ

Let $\text{A}=\{\text{x}:-1\leq\text{x}\leq1\}$ and $f: A \rightarrow A$ such that $\text{f(x)}=\text{x}|\text{x}|,$ then $f$ is:

✓
A bijection.
B
Injective but not surjective.
C
Surjective but not injective.
D
Neither injective nor surjective.

✓

Answer

Correct option: A.

A bijection.

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