Does Polynomials Have Asymptotes?
The Only Polynomial Functions That Have Asymptotes Are the Ones Whose Degree Is 0 (Horizontal Asymptote) and 1 (Oblique Asymptote), I. E. Functions Whose...
The only polynomial functions that have asymptotes are the ones whose degree is 0 (horizontal asymptote) and 1 (oblique asymptote), i.e. functions whose graphs are straight lines.
How do you find the asymptotes of a polynomial?
- If both polynomials are the same degree, divide the coefficients of the highest degree terms. ...
- If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
Do polynomials have no asymptotes?
We've learned that the graphs of polynomials are smooth & continuous. They have no asymptotes of any kind. Rational algebraic functions (having numerator a polynomial & denominator another polynomial) can have asymptotes; vertical asymptotes come about from denominator factors that could be zero.
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