1. The problem asks for the end behavior of a function based on the description of its graph. 2. End behavior describes how the function behaves as $x \to -\infty$ and $x \to \infty$. 3. From the description: the left end of the graph points down as $x \to -\infty$, meaning the function values go to $-\infty$. 4. The right end points up as $x \to \infty$, meaning the function values go to $\infty$. 5. This behavior is typical of an odd-degree polynomial with a positive leading coefficient. 6. Therefore, the function's end behavior is: $$\lim_{x \to -\infty} f(x) = -\infty$$ $$\lim_{x \to \infty} f(x) = \infty$$ 7. This means as $x$ becomes very large negative, $f(x)$ decreases without bound, and as $x$ becomes very large positive, $f(x)$ increases without bound.