Question

Please help!! Thank you!

Answer 1

`\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`