Check the injectivity and surjectivity of the following functions: $f : Z\to Z$ given by $f(x)\; = x^3$

Question

A) $f$ is injective and surjective
B) $f$ is injective only
C) $f$ is surjective only
D) $f$ is neither injective nor surjective

Note: This is the 5th part of a 5 part question, which is split as 5 separate questions here.