Question

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
as $x \to -\infty, f(x) \to -\infty$
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
as $x \to -\infty, f(x) \to \infty$
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Explanation:

Observe the end behavior of the graphed polynomial:

1. As \(x\) moves toward positive infinity (\(x \to \infty\)), the graph rises upward toward positive infinity (\(f(x) \to \infty\)).
2. As \(x\) moves toward negative infinity (\(x \to -\infty\)), the graph rises upward toward positive infinity (\(f(x) \to \infty\)).

This matches the last option.

Answer:

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