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It's difficult for us to automatically graph**Desmos****asymptotes**for a variety of reasons. However, we hope tohave this feature in the future! In the meantime, it's possible tocreate an

**asymptote**manually. Start by graphing the equationof the

**asymptote**on a separate expressionline.

Subsequently, one may also ask, how do you find asymptotes of a graph?

**Asymptotes**. An **asymptote** is a line that a**graph** approaches without touching. Similarly, horizontal**asymptotes** occur because y can come close to a value, butcan never equal that value. In the previous **graph**, there isno value of x for which y = 0 ( ≠ 0), but as x gets very largeor very small, y comes close to 0.

**asymptotes**: horizontal, verticaland oblique

**asymptotes**.

Considering this, how do you find Asymptotes?

**Finding Horizontal Asymptotes of RationalFunctions**

- If both polynomials are the same degree, divide thecoefficients of the highest degree terms.
- If the polynomial in the numerator is a lower degree than thedenominator, the x-axis (y = 0) is the horizontal asymptote.

**The three rules that horizontal asymptotes follow are basedon the degree of the numerator, n, and the degree of thedenominator, m.**

- If n < m, the horizontal asymptote is y = 0.
- If n = m, the horizontal asymptote is y = a/b.
- If n > m, there is no horizontal asymptote.