Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is

Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is

A

a bijection

B

injection but not surjection

C

surjection but not injection

D

neither injection nor surjection

Answer:

The correct option is A. a bijection

Note