Slant (Oblique) AsymptotesVerticalHorizontalSlantExamplesPurplemath In the previous section, covering horizontal asymptotes, we learned how to deal with rational functions where the degree of the numerator was equal to or less than that of the denominator. But what happens if the degree is greater ...
Let's look at an example of finding horizontal asymptotes: Find the horizontal asymptote of the following function: y=x+2x2+1\small{ \boldsymbol{\color{green}{y = \dfrac{x + 2}{x^2 + 1} }}}y=x2+1x+2 First, notice that the denominator is a sum of squares, so it doesn...
there are no horizontal asymptotes; 2) if the degree of the denominator is higher, the horizontal asymptote is y = 0; 3) if the degrees are equal, the horizontal asymptote is equal to the ratio of the leading coefficients
How To:Find the surface area of a cone without slant height Math ByWonderHowTo 33 How To:Find and sketch the domain of a multivariable function Math Bygetexcellent 34 How To:Find the horizontal asymptotes of rational functions Math Bydaylightspool ...
End Behavior:The end behavior of a graph of a function is how the graph behaves as {eq}x {/eq} approaches infinity or negative infinity. The end behavior of a function is equal to its horizontal asymptotes, slant/oblique asymptotes, or the quotient found when long dividing the polynomia...
A step-by-step math guide to help you calculate and graph an asymptoteAn asymptote of a polynomial is any straight line that a graph approaches but never touches. It can be vertical or horizontal, or it can be a slant asymptote – an...