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is a straight line continually approaching but never meeting a curve, or a line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.
asymptotes come from the zeroes of the denominator, so we need to set the denominator equal to
. Since the denominator has no zeroes, then
and the domain is "all x".
Since the degree is greater in the denominator than in the numerator, the
will be dragged down to the
is therefore "
". Since I have found a horizontal asymptote, I don't have to look for a slant asymptote. Then the full answer is:
set the denominator and set it equal to
for this is...