Question

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

Explanation:

Step1: Analyze right end behavior

As $x \to \infty$ (moving right along x-axis), the graph of $f(x)$ points downward, so $f(x) \to -\infty$.

Step2: Analyze left end behavior

As $x \to -\infty$ (moving left along x-axis), the graph of $f(x)$ points upward, so $f(x) \to \infty$.

Answer:

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