Creating lung compliance curves but I'm terrible at the math/graphing

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Homework Help Overview

The discussion revolves around creating lung compliance curves for a practice exam aimed at first-year medical students. The original poster, identifying as a physiologist, expresses difficulty with graphing and seeks assistance in replicating specific curves using a graphing program.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify a mathematical function to replicate the desired curves, specifically mentioning a normal curve and its transformation. Some participants suggest methods for translating the curve along the x-axis to achieve the desired intercept.

Discussion Status

Participants are engaged in exploring different approaches to graphing the curves. Some guidance has been offered regarding the transformation of the function, but further clarification on the other two curves is still needed. The discussion is ongoing with no explicit consensus reached yet.

Contextual Notes

The original poster notes a lack of attachment with the curves initially, which may impact the discussion. There is an emphasis on the need for clarity on how to recreate the additional curves presented in the attachment.

sozme
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Homework Statement



I am trying to replicate the curves in the attachment, but since I am a physiologist it has been quite a while since I've done graphing. I am simply looking for an easy way to replicate these three curves. This is for a practice exam I am creating for first year medical students. The graphing program I got from sourceforge allows you to create these curves by inserting a function in the form of f(x) = or creating a point series.

Homework Equations



I believe the normal curve is roughly f(x) = √x but, I wish I knew what function to insert to make the line cross the X axis at +2.5 instead of 0. I am clueless how to create the shapes of the other two.

The Attempt at a Solution



Above
 
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sozme said:

Homework Statement



I am trying to replicate the curves in the attachment, but since I am a physiologist it has been quite a while since I've done graphing. I am simply looking for an easy way to replicate these three curves. This is for a practice exam I am creating for first year medical students. The graphing program I got from sourceforge allows you to create these curves by inserting a function in the form of f(x) = or creating a point series.

Homework Equations



I believe the normal curve is roughly f(x) = √x but, I wish I knew what function to insert to make the line cross the X axis at +2.5 instead of 0. I am clueless how to create the shapes of the other two.

The Attempt at a Solution



Above

I don't see an attachment -- try again?
 
If your curve has the same shape as f(x) =√x, it can be translated to the right by 2.5 units to have an x-intercept at (2.5, 0). That would be y = f(x - 2.5) = √(x - 2.5)
 
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berkeman said:
I don't see an attachment -- try again?

I'm sorry, I think it should be attached now. Thanks for that first answer Mark. Now the other 2 curves should be in the attachment and I need a way to recreate them.
 

Attachments

  • lungcompliance.jpg
    lungcompliance.jpg
    33.8 KB · Views: 376

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