Let $2Z$ denote the set of all even integers. That is$,,$ for some integer $k.$ Define $h$;$Z2Z$ by the rule $h(n)=2n,$ for all integers $n1$ Justifycyour answer for the following:

A$)$ is the relation mentioned in the question a well$-$deftived function?

B$)$ If the relation is a function, is itone$-$to$-$one correspondence?

C$)$ If the relation is a function, find the inverse of the function.