CPM Homework Help : CALC Problem 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 $f(x)$ .

Hint:

This can be found using polynomial division.

Make sure to show your steps.

Answer:

$b(x) = x + 3$

More Help:

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