asymptote

[hard]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

[Flaming_Arrow]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

shouldn't the asymptote be x = 0?

anyways asymptote is the line the graph never touches

[ganges]

put simply, an asymptote is a region that a certain graph might approach, but it never touches it.

Or even more accurately...

An asymptote of a real-valued function y = f(x) is a curve which describes the behavior of f as either x or y goes to infinity.

In other words, as one moves along the graph of f(x) in some direction, the distance between it and the asymptote eventually becomes smaller than any distance that one may specify.

If a curve A has the curve B as an asymptote, one says that A is asymptotic to B. Similarly B is asymptotic to A, so A and B are called asymptotic.

[hard]

put simply, an asymptote is a region that a certain graph might approach, but it never touches it.

Or even more accurately...

An asymptote of a real-valued function y = f(x) is a curve which describes the behavior of f as either x or y goes to infinity.

In other words, as one moves along the graph of f(x) in some direction, the distance between it and the asymptote eventually becomes smaller than any distance that one may specify.

If a curve A has the curve B as an asymptote, one says that A is asymptotic to B. Similarly B is asymptotic to A, so A and B are called asymptotic.

ahkai thanks got it. But in regards to flaming_arrow, it would be y=0, wouldn't it? I assume it would be since a truncus with that general equation has a line going up and approaching the y-axis thus narrowing the horizontal distance between the line and the graph which would mean that y=0?

[kurrymuncher]

yeah, it is y=0.

x=0 is the verticle aymptote

[Flaming_Arrow]

yeah, it is y=0.

x=0 is the verticle aymptote

ah i see

[cobby]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

youve started unit 3 already :|
is that as a class or individually??

[hard]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

youve started unit 3 already :|
is that as a class or individually??

oh that's the class. hopefully i can do two chapters for chem spesh and meth this summer and then read my novels for english and do lots of partying

[cobby]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

youve started unit 3 already :|
is that as a class or individually??

oh that's the class. hopefully i can do two chapters for chem spesh and meth this summer and then read my novels for english and do lots of partying

parties FTW (Y)
your only 15?...you turning 16 this year?? that seems heaps young

[hard]

Okay so we've started unit 3 methods and a question asks what is the asymptote for the horizontal regarding a question about a truncus, y=1/x^2. I know the answer is y=0 but i forgot what the definition of an asymptote is. It's been so long since i learned what it was... can someone explain please?

youve started unit 3 already :|
is that as a class or individually??

oh that's the class. hopefully i can do two chapters for chem spesh and meth this summer and then read my novels for english and do lots of partying

parties FTW (Y)
your only 15?...you turning 16 this year?? that seems heaps young

yer parties haha
mmm young indeed turning 16 november 30th.

[Glockmeister]

thats kinda like coblin actually

which means you should do well

lol

[polky]

There are some graphs where there is asymptotic behaviour at one region of the graph but the graph actually crosses the asymptote at other regions.

I remember there being an example in Checkpoints, and my teacher photocopied it so that we knew about this sort of asymptote, but I've thrown out all my stuff so I can't find it anymore!

But graphs can cross asymptotes.

[Glockmeister]

You'd probably find that more in Specialist Maths then in Methods IMO

[dekoyl]

A function graph can cross horizontal asymptotes, but not vertical ones. Otherwise it wouldn't be a function.

[hard]

thats kinda like coblin actually

which means you should do well

lol

LOL collin is not human... he has a brain of 10,000 humans