16) horizontal asymptote.
17)
vertical asymptote.
Find the limits in and you'll get another vertical asymptote.
I am unsure of where to start on these problems...I remember learning asymptotes, but I am a little confused by these problems....they seem different than what we learned...if someone could please help explain them to me, I would greatly appreciate it.
Hello,
a few general remarks:
an asymptote is a straight line or a curve which the graph of the function will approach when the |x|-values increases unlimited.
With your examples you only have to calculate the limit of the values of the function if x approaches infinity.
I assume that you know that and therefore
and
Using this property the calculation of limits becomes easy:
That means the asymptote is here: