answersLogoWhite

0


Best Answer

Don't hand that holier than thou line to me

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What did the asymptote say to the removable discontinuity?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Calculus

What is unremovable discontinuity?

If you have a discontinuity and you can cancel factors in the numerator and the denominator, then it is removable. If you can't cancel those factors to get rid of the discontinuity it is nonremovable. Here is an example that shows both kinds. f(x) = (x - 2)(x + 3) /[(x - 2) (x - 4) There is a discontinuity at x=2 but we can cancel out(x-2) from the top and bottom. That makes it removable. However, at x=4 there also a discontinuity and there is no way to remove that one.


What is function which is has irremovable discontinuity at x-2 removable discontinuity at x2 and continuous at other points?

"Removable discontinuity" means the function is not defined at that point (it has a "hole"), but by changing the function definition at that single point, defining it to be certain value, it becomes continuous. "Irremovable discontinuity" means the function makes a sudden jump at that point. There are infinitely many functions like that; for example, you can set the function to be: f(x) is undefined at x = -2 f(x) = 0 for x < 2 (except for x = -2) f(x) = 1 for x > 2


The horizontal asymptote for exponential function is?

The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.


What is the meaning of asymptote?

An asymptote is the tendency of a function to approach infinity as one of its variable takes certain values. For example, the function y = ex has a horizontal asymptote at y = 0 because when x takes extremely big, negative values, y approaches a fixed value : 0. Asymptotes are related to limits.


Should you check the value of a function on its asymptote to get a good idea of how its graph should look?

The asymptote is a line where the function is not valid - i.e the function does not cross this line, in fact it does not even reach this line, so you cannot check the value of the function on it's asymptote.However, to get an idea of the function you should look at it's behavior as it approaches each side of the asymptote.

Related questions

Which function has the following a vertical asymptote at x equals -4 horizontal asymptote at y equals 0 and a removable discontinuity at x equals 1?

2x-2/x^2+3x-4


What type of discontiniuty is a vertical asymptote?

A vertical asymptote can be, but need not be a discontinuity. In simple terms, the distinction depends whether the domain extends on only one side of the (no discontinuity) or both sides (infinite discontinuity). For example, there is no discontinuity in f(x) = 1/x for x > 0 On the other hand, f(x) = 1/x for x ≠ 0 has an infinite discontinuity at x = 0.


What is unremovable discontinuity?

If you have a discontinuity and you can cancel factors in the numerator and the denominator, then it is removable. If you can't cancel those factors to get rid of the discontinuity it is nonremovable. Here is an example that shows both kinds. f(x) = (x - 2)(x + 3) /[(x - 2) (x - 4) There is a discontinuity at x=2 but we can cancel out(x-2) from the top and bottom. That makes it removable. However, at x=4 there also a discontinuity and there is no way to remove that one.


What math words start with non?

Non-removable discontinuity, nonagon, and nonexistent answer are just a few math words that start with non.


What is the break in a graph called?

In a parabolic curve it would be called an asymptote, where only one integer is exluded. If multiple integers are excluded, or you are dealing with piece-wise functions it is called a jump discontinuity.


What is function which is has irremovable discontinuity at x-2 removable discontinuity at x2 and continuous at other points?

"Removable discontinuity" means the function is not defined at that point (it has a "hole"), but by changing the function definition at that single point, defining it to be certain value, it becomes continuous. "Irremovable discontinuity" means the function makes a sudden jump at that point. There are infinitely many functions like that; for example, you can set the function to be: f(x) is undefined at x = -2 f(x) = 0 for x < 2 (except for x = -2) f(x) = 1 for x > 2


What is the asymptote of a circle?

A circle does not have an asymptote.


When was Asymptote Architecture created?

Asymptote Architecture was created in 1989.


Can a slant asymptote cuts the graph?

No. If it cuts a graph it is not an asymptote.


Does every rational function have an asymptote?

No if the denominators cancel each other out there is no asymptote


What is an asymptote?

An asymptote is a line or curve that approaches a given curve arbitrarily closely.


What is the asymptote of 3x?

It has no asymptote. 3x is a straight line and therefore is a tangent to itself.