Question

What is the end behavior of the polynomial function?

Answer 1

Answer:

  see below

Step-by-step explanation:

Ordinarily a graph like this will have arrowheads on the ends of the curve, indicating the curve continues on in the same direction. Here, we have to assume the existence of such arrowheads in order to choose a sensible answer.

As x goes to -∞, the curve continues to increase toward +∞. This is not an answer choice.

As x goes to +∞, the curve continues to decrease toward -∞. This matches the third answer choice.

Answer 2

Answer:

As $x$ tend to ∞, tehn $y$ tend to -∞.

Step-by-step explanation:

In the graph you can observe the beahaviour of each variable.

Observe, as $x$ tend to ∞, then $y$ tend to -∞. This beahaviour is located in the IV quadrant.

So, in the options, the best answer is "as $x$ tend to ∞, tehn $y$ tend to -∞", because is true.

Other options are just false, for example, as $x$ tend to -∞, $y$ doesn't tendo to -∞.

As  $x$ tend to -∞ $y$ doesn't tendo to 0.

Therefore, the right answer is the third choice.