Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 184: 13

$\infty$, $-\infty$

$\lim_{x \rightarrow -\infty} f(x) = \infty$, $\lim_{x \rightarrow \infty} f(x) = -\infty$ because the $-2x^5$ is the "strongest power" in both cases and in the first case tends a lot stronger to $\infty$, in the second case tends a lot stronger to $-\infty$ than the other terms tend to anything.