We all know Abe Lincoln and John F. Kennedy have similarities but try to have a history teacher explain this if they can. The similarities between the two are startling. Abraham Lincoln was elected to Congress in 1846. John F. Kennedy was elected to Congress in 1946. Abraham Lincoln was elected President in 1860.
An asymptote is a line that the curve never touches but approaches. like say the curve y=1/x will never touch the line x=0(y-axis) nor the y=0(x-axis). so the asymptotes are the two lines. An asymptote is generally drawn as a dotted line. It's not part of the function.
Whereas you can never touch a vertical asymptote, you can (and often do) touch and even cross horizontal asymptotes. Whereas vertical asymptotes indicate very specific behavior (on the graph), usually close to the origin, horizontal asymptotes indicate general behavior far off to the sides of the graph.It is common and perfectly okay to cross a horizontal asymptote. It's the vertical asymptotes that I'm not allowed to touch.). As I can see in the table of values and the graph, the horizontal asymptote is the x-axis. horizontal asymptote: y = 0 (the x-axis).