Consider the following statements : 1. A function f: ℤ arrow ℤ ,...

Consider the following statements : 1. A function $f: \mathbb{Z} \rightarrow \mathbb{Z}$, defined by $f(x)=x+1$, is oneone as well as onto. 2. A function $f: \mathbb{N} \rightarrow \mathbb{N}$, defined by $f(x)=x+1$, is oneone but not onto. Which of the above statements is/are correct?