# B Curve where both x and y approach infinity

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1. Nov 24, 2016

### Pjpic

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

2. Nov 24, 2016

### Krylov

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

3. Nov 24, 2016

### Pjpic

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

4. Nov 24, 2016

### Krylov

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?

5. Nov 24, 2016

### Pjpic

I think I get it. Powers make a curve.

6. Nov 24, 2016

### Staff: Mentor

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

7. Nov 24, 2016

### Staff: Mentor

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