# If a point is undefined, is it a vertical asymptote or hole?

... the undefined point remains, so there is a point of discontinuity here. ... Thus, there is a vertical asymptote at x=0. Looking at the graph, ... - Read more

... vertical asymptote(s), hole(s) ... either a hole or an asymptote. So, rational functions have no jump ... your rational function has a hole at the point ... - Read more

## If a point is undefined, is it a vertical asymptote or hole? resources

### Defining 'Undefined' - Math Forum - Ask Dr. Math

... Is a hole in a graph (of a function) undefined? ... and can be graphed as an asymptote. Is a hole in the graph ... or just vertical asymptotes, ...

### How to Find the Vertical Asymptote of a Function | eHow

The asymptote of a function refers to the points at which it is undefined. The vertical ... undefined. The vertical asymptote, ... Vertical Asymptote, and a Hole, ...

### Undefined - Math Wiki

... a graphical illustration of undefined shows a vertical asymptote, ... On a graph they will not have a vertical asymptote at all as ... there will be a point ...

### Horizontal And Vertical Asymptotes And Discontinuities ...

To find a vertical asymptote, ... A discontinuity is a part of the graph that is undefined at a particular point, but there is no asymptote at that point.

### Rational Functions - Pearland Independent School District

A POINT OF DISCONTINUITY occurs when there is a break in the graph. ... the undefined point remains, ... Thus, there is a vertical asymptote at x=0.

### Is there a vertical asymptote or a cusp? - My Math Forum

Is there a vertical asymptote or ... Some people argue that there should be vertical asymptotes at these points. ... undefined imply that there are vertical ...

### Re: Undefined function question... - Tech-Archive.net

... having a vertical asymptote at a point does _not_ prevent ... the second term has a vertical asymptote at x = 2 so f is undefined there. ... Kyle... Prev by Date: ...

### ABCalculus - When does a derivative NOT exist?

... hole, asymptote, vertical ... Just because a point must exist where the derivative is defined does not mean ... the slope of a vertical line is undefined, ...

### Infliction points - Physics Forums

Infliction points in Calculus is ... Say y=a is a vertical asymptote. ... ﻿﻿﻿[/tex]. Inflection point at x = 0, y''(0) undefined due to vertical tangent ...

There may be a value above or below the hole or it can remain undefined. ... It's usually a vertical asymptote in which leads to ... closed-hole point that is ...

### . A student asks “What if - University of Georgia

The line x = a is a vertical asymptote if the graph increases or decreases without bound ... should not bother about a point of intersection at ... there is a hole.

### Limits at Infinity - Millersville University of Pennsylvania

I'll say that the graph of a function has a vertical asymptote at if at least one ... at an isolated value of x for which is undefined. ... a hole. In particular ...

### I have a question about HA, VA and minimum points

The graph has a vertical asymptote at x=0 ... 'I' is wrong because we can cancel X in the denominator and it becomes a hole (or I am wrong?), ... which is undefined.

### How to Graph a Rational Function: 8 Steps - wikiHow

Graph each vertical asymptote with a light or dashed line. If some value of x makes both N(x) = 0 and D ... approaches zero at this point, but is undefined there.

### Socratic

Asymptote is a point where a function is not defined, ... how do we find a vertical asymptote? ... (undefined) hence the asymptote.

### Hyperbolic functions - Everything Maths

The effect of is called a vertical shift because all points are ... which is undefined, ... The horizontal asymptote is the line and the vertical asymptote is ...

### Vertical Line | Equation of a Vertical Line | MathCaptain.com

... the slope of a vertical line is undefined. Thus, ... A line segment which is bounded by two points on a vertical line, ... Rational Function Vertical Asymptote:

### Asymptote - Wikipedia, the free encyclopedia

The line x = a is a vertical asymptote of the graph of the function y = ... A plane curve of degree n intersects its asymptote at most at n−2 other points, ...

### Socratic

Essentially, the vertical asymptote is a place where not only is the function undefined, ... a vertical asymptote occurs at a point #P=(x_0,y_0) ...

### Algebra Help - Brown University Mathematics Department

The asymptotes we see with this function are called vertical ... asymptote. We look for asymptotes at points ... undefined. In conclusion, point ...

### How do I find a vertical asymptote? - Experts123

How do I find a vertical asymptote? ... You have vertical asymptotes when the function is undefined. ... you would have a discontinuity at that point, ...

### How to Know the Difference between a Vertical Asymptote ...

How to Know the Difference between a Vertical Asymptote, and a Hole, ... 0, then the Rational function will be Undefined, ... discontinuity or point ...

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