Confirmation needed! So, I've come up with some answers about these functions, I'm supposed to find out if they are a Horizontal/Vertical/Slanted asymptote or any of the those along with the x-axis. I'm not sure about my answers. Help is appreciated (check comments for f(x)).
My answers were (respectively) Vertical asym(with X-axis) horiz. asym. (with x-axis) slanted vertical asym horiz. asym.
all but the last on has a vertical asymptote at \(x=1\)
the first has horizontal asymptote at \(y=0\) since the degree of the numerator is less than the degree of the denominator
the second one has a horizontal asymptote at \(y=1\) since the degrees are the same and the leading coefficients are both 1
the third has a slant asymptote, which i am pretty sure is \(y=x+2\)
and the last one has a horizontal asymptote at \(y=1\) for the same reason the second one does
Join our real-time social learning platform and learn together with your friends!