Question

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

Answer 1

The question is incomplete.

Here is the complete question:

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

1) As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

2) As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.

3) As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

4) As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Answer

In the first option when the x will go small the f(x) will be bigger so for this option it would be x ->infinity, f(x)->negative infinity

The second option is almost same as first one

The third option we have negative (-1,5) and positive  [-5,-1) both situations, so it is either greater than or equal to 0 in interval from negative infinity to -1

and in the fourth option it is the point where the y intercept crosses the y axis and where x=0 x=0

So for the (0,0) there is only 1st option.

If there is any confusion please leave a comment below.