How do you find the asymptotes for #y = 6/x#?

1 Answer
Jan 26, 2016

Answer:

Vertical asymptote at #x=0#
Horizontal asymptote at #y=0#

Explanation:

Given
#color(white)("XXX")y=6/x#
This relation ship is defined for all values of #x# except #x=0#;
#x# may approach #0# as closely as we like, but it can never be #=0#;
therefore #x=0# is an asymptote.

As #xrarroo#
#color(white)("XXX")yrarr0#
but #y# is never #=0#;
therefore #y=0# is an asymptote.
graph{y=6/x [-28.86, 28.85, -14.43, 14.43]}