Answer
$x\to-\infty,y\to\infty$ and $x\to\infty,y\to-\infty$,
Work Step by Step
The leading term can be identified as $-2x^5$ with a coefficient $-2$ and an odd power; thus the end behaviors can be found as $x\to-\infty,y\to\infty$ and $x\to\infty,y\to-\infty$. That is, the curve will rise to the left and fall to the right.
