precalc
posted by caitlyn
what are the asymtopes of
2x/x3

MathMate
First make sure the expression is correctly transcribed:
2x/x3
does not equal
2x/(x3).
I suspect it's the latter you need.
Because of the lack of typesetting capabilities, parentheses are required around the numerator and the denominator.
Hints for asymptotes and domains:
1. All polynomials have a domain of R, or (∞,∞).
2. Horizontal asymptotes are finite values to which the function approaches when x→±∞.
3. Vertical asymptotes for a rational function (i.e. polynomials in both numerator and denominator) occur when the denominator equals zero.
4. The domain of a rational function is therefore (∞,∞)points at which vertical asymptotes occur.
Post your answers for checking if you wish.
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