52.1k views
5 votes
Please help!! Thank you!

Please help!! Thank you!-example-1
User Disper
by
8.7k points

1 Answer

2 votes

Answer:


\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty

Explanation:

This question is asking for the function's end behavior. An even degree power function with a negative leading coefficient forms a parabola concave down. This means, its vertex represents the maximum and the parabola opens downward (towards negative infinity).

Thus,


\lim_(x\rightarrow \infty)f(x)=-\infty,\\\lim_(x\rightarrow-\infty)f(x)=-\infty

This corresponds with the first answer choice listed:


\text{As }x\rightarrow \infty, f(x)\rightarrow -\infty,\\\text{As }x\rightarrow -\infty, f(x)\rightarrow -\infty

User Kevin Doyon
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories