You can
put this solution on YOUR website!By definition,
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.
1.
The
asymptotes come from the zeroes of the denominator, so we need to set the denominator equal to
and solve.
=+-
This has
. 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
, and
is therefore "
". Since I have found a horizontal asymptote, I don't have to look for a slant asymptote. Then the full answer is:
domain: all
vertical asymptotes:
horizontal asymptote:
(the
)
slant asymptote:
2.
The
is at
.
set the denominator and set it equal to
:
=>
a
for this is...
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