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.
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