### Home > CALC > Chapter 1 > Lesson 1.4.4 > Problem1-186

1-186.

Find $b(x)$, the end behavior function of $f ( x ) = \frac { x ^ { 3 } + 3 x ^ { 2 } - 4 x - 1 } { x ^ { 2 } - 1 }$. Then, write a complete set of approach statements for $f(x)$.

This can be found using polynomial division.

Make sure to show your steps.

$b(x) = x + 3$

How does the graph behave as $x$ approaches $∞$, $−∞$, as well as the asymptotes $1$ and $−1$ from both the positive and negative sides.