Question

HELP PLEASE!! Based on the table, which best predicts the end behavior of the graph of f(x)?

A. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
B. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.
C. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.
D. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

Answer 1

The answer would be D, it's pretty self explanatory if you look at the choices. Hope this helps!

Answer 2

Solution: The correct option is option D.

Step-by-step 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.