Question

Describe the end behavior of the following function:

Answer 1

Answer:

C. The graph of the function starts high and ends low

Step-by-step explanation:

For $f(x)=-x^5+x^2-x$, as $x$ approaches negative infinity, $f(x)$ approaches infinity, and as $x$ approaches infinity, $f(x)$ approaches negative infinity.

Thus, we have:

$\lim_{x\rightarrow -\infty}f(x)=\infty,\\\lim_{x\rightarrow \infty}f(x)=-\infty$

This corresponds with answer choice C. The graph of the function starts high and ends low.