Question

question
the graph of ( y = f(x) ) is graphed below. what is the end behavior of ( f(x) )?

answer
( circ ) as ( x \to infty, y \to infty ) and
as ( x \to -infty, y \to -infty )
( circ ) as ( x \to infty, y \to infty ) and
as ( x \to -infty, y \to infty )
( circ ) as ( x \to infty, y \to -infty ) and
as ( x \to -infty, y \to infty )
( circ ) as ( x \to infty, y \to -infty ) and
as ( x \to -infty, y \to -infty )

Explanation:

End behavior describes the trend of the function as $x$ approaches positive infinity ($x \to \infty$) and negative infinity ($x \to -\infty$).

1. Observe the right end of the graph: as $x$ moves far to the right ($x \to \infty$), the graph moves upward, so $y \to \infty$.
2. Observe the left end of the graph: as $x$ moves far to the left ($x \to -\infty$), the graph moves upward, so $y \to \infty$.

Answer:

as $x \to \infty, y \to \infty$ and as $x \to -\infty, y \to \infty$