The Correct answer is B.

Explanation

If?,?then?,?so the second condition fails. If?,then?,?so the second condition fails for this function also. The other three options satisfy?,?so it remains to check whether they satisfy the first condition.

If?,?and?,?then??and?,?so it is not true that??for all integers?. This means that the function??does not satisfy the first condition. If?,?and?,?then??and?,?so it is not true that??for all integers?. This means that the function??does not satisfy the first condition.

However, if?,?then?, for all integers?. Also,?.Therefore, the function??is the only option that satisfies both conditions.