Question

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

Options

• a bijection

• injection but not a surjection

• surjection but not injection

• neither injection nor surjection

Answer 1

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