Find all the asymptotes of .
Hint
There is one horizontal and one vertical asymptote.
Answer
There is a horizontal asymptote at x = 0, and a vertical one at y = 0.
There is one horizontal and two vertical asymptotes.
y = 2, x = -1, and x = -5 are all asymptotes.
Be sure to double-check whether the zeros in the denominator are asymptotes or holes.
y = 1 and x = -3 are asymptotes, while x = -1 is a hole.
Long division gives a result of .
There is a slant asymptote at y = 4x – 4 and a vertical asymptote at x = -2.
If we multiply out the numerator, we have x2 – 3x – 4, which has degree 2.
is the slant asymptote, and x = 0 is the vertical asymptote.
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is the slant asymptote, and x = 0 is the vertical asymptote.