Solution: The correct option is option D.
Explanation:
The end behavior is the behavior of function as the input of the function approaches to very large value and very small value.
If a function is f(x), then at \(x\rightarrow \infty\) and \(x\rightarrow -\infty\) the value of f(x) approaches to either infinity or negative infinity which defines the end behavior.
From the given table it is noticed that the as x decreases and approaches to large negative values then the values of the function is also approaches to the large negative values. According to the table as \(x\rightarrow -\infty\), \(f(x)\rightarrow -\infty\).
From the given table it is noticed that the as x increases and approaches to large positive values then the values of the function is approaches to the large negative values. According to the table as \(x\rightarrow \infty\), \(f(x)\rightarrow -\infty\) .
Since only option D satisfy the both conditions, therefore the correct option is option D.
