SOLUTION: For the function g(x) = x^3/(2x^3-x^2-3x) determine a. the vertical asymptotes, if any b. the holes, if any c. the horizontal asymptotes, if any d. the oblique asymptote, i

Question 1115330: For the function g(x) = x^3/(2x^3-x^2-3x) determine
a. the vertical asymptotes, if any
b. the holes, if any
c. the horizontal asymptotes, if any
d. the oblique asymptote, if any

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Not the full answer, but

x is factor both in numerator and denominator, so HOLE at x=0.

Looking at extreme behavior, y=1/2 will be horizontal asymptote.

RELATED QUESTIONS
For the function g(x) = x^3/(2x^3-x^2-3x) determine a. the vertical asymptotes, if any (answered by josgarithmetic)

For the function g(x) = x^3/(2x^3-x^2-3x) determine a. the vertical asymptotes, if any (answered by josgarithmetic)

For the following two functions: determine if there are any holes, find all intercepts,... (answered by stanbon)

Find the vertical, horizontal, and oblique asymptotes, if any, as well as any holes, of... (answered by venugopalramana)

For the function f(x)=(x^2+x-6)/(x^2+2x-8) a) Find the factored form b) Find any... (answered by haileytucki,robertb)

determine any horizontal or vertical asymptotes or holes for... (answered by richwmiller)

(a)Find the domain of the function, (b) decide if the function is continuous, and (c)... (answered by lwsshak3)

For each rational function, identify any holes or horizontal or vertical asymptotes of... (answered by jim_thompson5910)

Find the equations for the horizontal and vertical asymptotes of the following. Type... (answered by stanbon)