Need help with asymptotes. Can someone walk me through this?
Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at
x = 1.

Question

Need help with asymptotes. Can someone walk me through this?
Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at 
x = 1.

misty1212 · Answer

HI!!

misty1212 · Answer

if the vertical asympote is $x=1$ that means the function is not defined at 1

misty1212 · Answer

which basically means the denominator is 0 if $x=1$

misty1212 · Answer

so guess what the denominator should be ?

onepieceftw · Answer

x-1?

misty1212 · Answer

bingo

misty1212 · Answer

now we have $$f(x)=\frac{\text{sommat}}{x-1}$$ and we gotta figure out what is on top

misty1212 · Answer

that has to do with the degree of the numerator vs the degree of the denominator

onepieceftw · Answer

The degree has to be higher in the numerator for there to be no horizontal asymtotes, right?

misty1212 · Answer

exactly

misty1212 · Answer

so you can put anything up top you like, so long at the degree is 2 or more

onepieceftw · Answer

Oh okay that makes sense, thanks!