# asymptotes

• October 8th 2009, 03:44 PM
math123456
asymptotes
f(x)= (1-4x^3)/(3+2x-x^2)

Identify all the horizontal, vertical, and oblique asymptotes for the graph of the function.
• October 8th 2009, 04:16 PM
mr fantastic
Quote:

Originally Posted by math123456
f(x)= (1-4x^3)/(3+2x-x^2)

Identify all the horizontal, vertical, and oblique asymptotes for the graph of the function.

Vertical asymptotes: Vertical lines passing through the values of x that satisfy 3 + 2x - x^2 = 0.

Horizontal asymptote: None.

Oblique asymptote: Do the polynomial long division and express the function in the form $f(x) = ax + b + \frac{cx + d}{3 + 2x - x^2}$. The oblique asymptote is $y = ax + b$.