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 ...
two important features are the asymptotes and the holes of the graph. Use algebraic techniques to determine the vertical asymptotes and holes of any rational equation so that you can
How To:Determine if you have a function Byrawhy Math In this tutorial, we learn how to determine if you have a function. You will start off with two functions and their points. The 'x' values make up the domain of the function and the 'y' values make up the range. The input valu...
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...
In engineering, asymptotes are tremendously helpful, as they create approximate linear behaviors, which are easy to analyze, for non-linear behaviors. The length of your x-axis should be kept small, so you can clearly see that the asymptote does not touch the graph of your polynomial. Submit...