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.
A vertical asymptote really serves as a reminder that that value of x is not in the domain. Horizontal and oblique asymptotes describe the behavior of y as x goes to +/- infinity. There is no horizontal line test for functions themselves, so a function can repeat y-values infinitely. You can solve the equation f(x) = the equation of the asymptote (either HA or OA) to find any / all values of x where the curve crosses the HA or OA. notthejake Â· 8 years ago.