SOLUTION: How do you find asymptotes?
For example, y=1/x-2
Algebra.Com
Question 678483: How do you find asymptotes?
For example, y=1/x-2
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
In general, the procedure for asymptotes is the following:
-set the denominator equal to zero and solve
the (if any) are the vertical asymptotes
everything else is the domain
-compare the degrees of the numerator and the denominator
if the degrees are the same, then you have a horizontal asymptote at
y = (numerator's leading coefficient) / (denominator's leading coefficient)
if the denominator's degree is greater (by any margin), then you have a horizontal asymptote at (the x-axis)
if the numerator's degree is greater (by a margin of 1), then you have a slant asymptote which you will find by doing long division
The vertical asymptotes (and any restrictions on the domain) come from the zeroes of the denominator, so I'll set the denominator equal to zero and solve.
...=>........so, domain is all
horizontal asymptote: (the x-axis)
and you can draw a line parallel to through the point
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