Rational Equations: asymptotes of y = (2x + 2) / (3x + 1)

[unknownender5]

Hi, I am trying to identify the asymptotes of a graph of a function. And state the domain and range. I understand that on a problem like this:

y= (3/X) + 2 where the vertical asymptote is 2 and the horizontal asymptote is 0. But what about a problem like this:

y= (2x+2)/(3x+1)

Thanks!

 

[skeeter]

Re: Rational Equations

Hi, I am trying to identify the asymptotes of a graph of a function. And state the domain and range. I understand that on a problem like this:

y= (3/X) + 2 where the vertical asymptote is 2 and the horizontal asymptote is 0.

you have it backwards ... the vertical asymptote is x = 0 and the horizontal asymptote is y = 2

But what about a problem like this:

y= (2x+2)/(3x+1)

set the denominator = 0 to find the vertical asymptote. remember that vertical asymptotes are lines with equations of the form x = k, a konstant.

since the degree of the numerator = the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients ... remember that horizontal asymptotes are lines with equations of the form y = k.

Thanks!