Math Equation

[sbrylski]

This should not be as hard as my brain is making it...

 

I need an equation with no vertical asymptotes, a horizontal asymptote at y=0, and a diagonal asymptote at y=x-20.

 

Can anyone help me out?

[Baldkin]

The problem is you're asking for an irrational function. A rational function has at most one

horizontal asymptote or oblique (slant) asymptote, and possibly many

vertical asymptotes.

[owbc]

It has to be non-linear. You could find a hyperbola that would solve that. I do not remember how to get the equation though.

[sbrylski]

Yeah, this actually is as hard as I was making it.

 

And I lied about what I actually needed. I'm looking for an equation with asymptotes at y=x and y=20.

 

I got as far as trying to use eigenvectors of (0,1) and (-1,-1) at the critical point (5, 20) and work backwards or something, but figured I was in over my head a little. I had a differential equations course, but it's been over a year and I hadn't used anything from it outside the class.

[homer]

I was told there would be no math.

[thebruce44]

[Point Beer Is Best]

The problem is you're asking for an irrational function. A rational function has at most one

horizontal asymptote or oblique (slant) asymptote, and possibly many

vertical asymptotes.

Yes, that was my first inclination as well...

[sbrylski]

Got it.

 

y = 20 - (((2x-20)^2+100)^.5 - 2x - 20) / 2

[Baldkin]

You're missing a ( somewhere in there.

[bullox]

1.21 Jiggawatts. I looked it up.

[sbrylski]

You're missing a ( somewhere in there.

Fixed.

[1992casey]

Ya know, we do need a report back when you get your feedback in class. Is there a z value?