Question

the graph of $y = f(x)$ is graphed below. what is the end behavior of $f(x)$?
answer
as $x \to -\infty, y \to \infty$ and
as $x \to \infty, y \to -\infty$

Explanation:

End behavior describes how a function's output behaves as input approaches positive and negative infinity. Observe the left end of the graph: as $x$ moves toward $-\infty$, the graph rises toward $+\infty$. Observe the right end: as $x$ moves toward $+\infty$, the graph falls toward $-\infty$.

Answer:

As $x \to -\infty$, $f(x) \to \infty$ and as $x \to \infty$, $f(x) \to -\infty$