Slant asymptote

Slant asymptote

When the polynomial in the numerator is exactly one degree higher than the polynomial in the denominator, there is a slant asymptote in the rational function. To determine the slant asymptote, we need to perform long division.

Lessons

Notes:

For a simplified rational function, when the numerator is exactly one degree higher than the denominator, the rational function has a slant asymptote. To determine the equation of a slant asymptote, we perform long division.

  • 2.
    Algebraically Determining the Existence of Slant Asymptotes

    Without sketching the graph of the function, determine whether or not each function has a slant asymptote:

  • 3.
    Determining the Equation of a Slant Asymptote Using Long Division

    Determine the equations of the slant asymptotes for the following functions using long division.

  • 4.
    Determining the Equation of a Slant Asymptote Using Synthetic Division

    Determine the equations of the slant asymptotes for the following functions using long division.

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Slant asymptote

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