## How do you find the asymptote of a graph?

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How to Find Horizontal Asymptotes?

- If the degree of the polynomials both in numerator and denominator is equal, then divide the coefficients of highest degree terms to get the horizontal asymptotes.
- If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptotes will be y = 0.

**How do you find oblique asymptotes?**

The oblique or slant asymptote is found by dividing the numerator by the denominator. A slant asymptote exists since the degree of the numerator is 1 greater than the degree of the denominator.

### Which is the asymptote of the graph?

An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value. In the previous graph, there is no value of x for which y = 0 ( ≠ 0), but as x gets very large or very small, y comes close to 0.

**How do you find the horizontal asymptote of a graph?**

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.

## How do you know if a graph crosses a slant asymptote?

There is a horizontal asymptote of y = 0 (x-axis) if the degree of P(x) < the degree of Q(x). if the degree of P(x) = the degree of Q(x). There is an oblique or slant asymptote if the degree of P(x) is one degree higher than Q(x).

**Is the asymptote part of the graph?**

An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because y can come close to a value, but can never equal that value.

### How do you find the equation of an oblique asymptote?

You can find the equation of the oblique asymptote by dividing the numerator of the function rule by the denominator and using the first two terms in the quotient in the equation of the line that is the asymptote.

**Can you cross an oblique asymptote?**

Note that your graph can cross over a horizontal or oblique asymptote, but it can NEVER cross over a vertical asymptote.