Question

what is the end behavior of this function?
options:
as ( x \to infty ), ( f(x) \to -infty ); as ( x \to -infty ), ( f(x) \to infty )
as ( x \to infty ), ( f(x) \to infty ); as ( x \to -infty ), ( f(x) \to -infty )
as ( x \to infty ), ( f(x) \to -infty ); as ( x \to -infty ), ( f(x) \to -infty )
as ( x \to infty ), ( f(x) \to infty ); as ( x \to -infty ), ( f(x) \to infty )

Explanation:

1. Observe the right end of the graph: as $x$ moves toward positive infinity ($x \to \infty$), the function values rise upward toward positive infinity ($f(x) \to \infty$).
2. Observe the left end of the graph: as $x$ moves toward negative infinity ($x \to -\infty$), the function values drop downward toward negative infinity ($f(x) \to -\infty$).
3. Match this behavior to the given options.

Answer:

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