SOLUTION: Find the parabolic asymptote of the function. y = {{{(6x^3 - 4x^2 - x + 4)/(3x - 5)}}}

Algebra.Com
Question 860505: Find the parabolic asymptote of the function.
y =

Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Q:
Find the parabolic asymptote of the function.
y =
------------------------------------
A:
First we divide the numerator by the denominator.

The result is .
The fractional part approaches zero as x decreases without bound. Therefore, the parabolic asymptote is .
Here's the graph:

RELATED QUESTIONS

5. a) Determine the equation of the oblique asymptote of y=2x^2-3x+5/3x+2. b)... (answered by josgarithmetic)
For the function, g(x)=2x^3-3x^2-9x+8/2x-1, I used long division and got:... (answered by Alan3354)
Let f(x)= x^2 – 4x –5 / 3x^2 + 2 1. Find the domain. 2.Determine the... (answered by stanbon)
Find the horizontal asymptote, if any, of the graph of the rational function.... (answered by oscargut)
Find the vertical asymptote of the rational function f(x)=3x-12/4x-2.... (answered by adamchapman)
find the vertical asymptote of the rational function f(x)=3x-12/... (answered by adamchapman)
Find the vertical asymptote of the rational function... (answered by Nate)
find the vertical asymptote of the rational function f(x)=3x-12 divided by... (answered by uma)
Find the vertical asymptote of the rational function:... (answered by scott8148)