Curve where both x and y approach infinity

[Pjpic]

What is the equation for a curve where x approaches infinity as y approaches infinity?

 

[S.G. Janssens]

I don't think I understand you well, but what about: $x = y$
?

 

[Pjpic]

I don't think I understand you well, but what about: $x = y$
?

Wouldn't that be a straight line instead of a curve?

 

[S.G. Janssens]

Wouldn't that be a straight line instead of a curve?

To me a straight line is a particular kind of curve, but if you prefer something that really "curves", then you could do $x = y^2$. However, I believe you were also able to find that out?

Maybe it helps when you explain a bit more about the background of your question. There are lots of planar curves with the property that $x \to \infty$ as $y \to \infty$. Are you looking for a curve among them that has some additional properties?

 

[Pjpic]

To me a straight line is a particular kind of curve, but if you prefer something that really "curves", then you could do $x = y^2$. However, I believe you were also able to find that out?

Maybe it helps when you explain a bit more about the background of your question. There are lots of planar curves with the property that $x \to \infty$ as $y \to \infty$. Are you looking for a curve among them that has some additional properties?

I think I get it. Powers make a curve.

 

[mfb]

A straight line is a mathematical curve as well. It is just an interesting special case.

 

[jedishrfu]

$y=ln(x)$ also works as does $y=e^x$