Question

d end behavior
use the graph to answer the question.
describe the end behavior of the graphed function.
(1 point)
\\( f(x) \to \pm\infty \\) as \\( x \to \pm 2 \\)
\\( f(x) \to \infty \\) as \\( x \to \infty \\) and \\( f(x) \to -\infty \\) as \\( x \to -\infty \\)
\\( f(x) \to \infty \\) as \\( x \to 1 \\) and \\( f(x) \to -\infty \\) as \\( x \to -1 \\)
\\( f(x) \to 1 \\) as \\( x \to \pm\infty \\)

Explanation:

End behavior describes how a function behaves as $x$ approaches positive infinity ($x \to \infty$) and negative infinity ($x \to -\infty$). Looking at the graph:

1. As $x$ moves far to the right ($x \to \infty$), the function's graph approaches the horizontal line $y=1$.
2. As $x$ moves far to the left ($x \to -\infty$), the function's graph also approaches the horizontal line $y=1$.

The other options describe behavior near vertical asymptotes (not end behavior) or incorrect trends.

Answer:

$f(x) \to 1$ as $x \to \pm\infty$