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 [tex]x\rightarrow \infty[/tex] and [tex]x\rightarrow -\infty[/tex] 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 [tex]x\rightarrow -\infty[/tex], [tex]f(x)\rightarrow -\infty[/tex].
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 [tex]x\rightarrow \infty[/tex], [tex]f(x)\rightarrow -\infty[/tex] .
Since only option D satisfy the both conditions, therefore the correct option is option D.
