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## Asymptotes: Examples - Purplemath

www.purplemath.com/modules/asymtote4.htm

Find the domain and all asymptotes of the following function: ... case differently: Some books may say that there is no vertical asymptote where there is a "hole".

Sep 14, 2011 ... In this video we look at a rational function and identify its domain, identify its vertical asymptotes and determine whether or not it has a hole.

## SparkNotes: Special Graphs: Asymptotes and Holes

www.sparknotes.com/math/algebra2/specialgraphs/section2.rhtml

A summary of Asymptotes and Holes in 's Special Graphs. Learn exactly what happened in this chapter, scene, or section of Special Graphs and what it means.

## 3.5 - Rational Functions and Asymptotes

people.richland.edu/james/lecture/m116/polynomials/rational.html

There will either be a vertical asymptote at x=k, or there will be a hole at x=k. ... To find the equation of the oblique asymptote, perform long division (synthetic if it ...

## Rational Expressions, Vertical Asymptotes, and Holes - RPDP

Find the domain and identify vertical asymptotes & holes. Find the domain and identify vertical asymptotes & holes. Find the domain and identify vertical ...

## Vertical Asymptotes vs. Holes - Shmoop

www.shmoop.com/functions-graphs-limits/vertical-asymptotes-holes.html

Both vertical asymptotes and holes are places that the curve can't quite seem to touch. Holes occur at places where the limit of the function exists, but the ...

## How do you determine the vertical asymptotes or holes in the graph ...

Aug 13, 2009 ... If you're in calculus, you must use limits to determine holes, vertical asymptotes and HA. Calculus method: To determine holes/VA Factor the ...

## Holes, Asymptotes, and Graphs - MathOps

www.mathops.com/free/a1rf009.php

In this lesson you will learn how to identify the holes and vertical asymptotes that will. occur on the graph of a rational function. In order to do this, you need to be ...

## 3.5C Rational Functions and Asymptotes

users.math.msu.edu/users/systeven/mth103/3.5c.pdf

Rational functions may have holes or asymptotes (or both!) ... Example 1: Find the vertical asymptotes/holes for where ´ /font>µ 纯 /font>方荡 /font> 荡 /font>· µ.

How to Find Asymptotes & Holes
A rational equation contains a fraction with a polynomial in both the numerator and denominator -- for example; the equation y = (x - 2) / (x^2 - x - 2). When graphing rational equations, two important features are the asymptotes and the holes of the... More »
Difficulty: Moderate
Source: www.ehow.com

### Graphing Rational Functions: The Special Case with the "Hole"

www.purplemath.com

Since the degree is one greater in the numerator, I know that I will have a slant asymptote. But I need to do the long division to find out what the equation of the ...

### How to find holes in rational functions - Quora

www.quora.com

My Pre-calc. final is tomorrow, and I know there will be something where I'll be given a rational function and I'll need to find asymptotes, holes, etc. I get confused  ...