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

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SUMMARY

The discussion focuses on creating lung compliance curves for a practice exam using a graphing program obtained from SourceForge. The user seeks to replicate three specific curves, starting with the normal curve represented by the function f(x) = √x. To adjust the curve so that it crosses the X-axis at +2.5, the correct transformation is y = √(x - 2.5). The user also requires assistance in generating the shapes of the other two curves mentioned in the attachment.

PREREQUISITES
  • Basic understanding of graphing functions
  • Familiarity with the mathematical function f(x) = √x
  • Knowledge of function transformations, specifically horizontal shifts
  • Experience with graphing software, particularly tools from SourceForge
NEXT STEPS
  • Research how to graph functions using SourceForge graphing tools
  • Learn about function transformations, focusing on horizontal shifts
  • Explore additional mathematical functions for curve creation
  • Investigate methods for visualizing complex curves in educational settings
USEFUL FOR

Physiologists, medical educators, and anyone involved in creating educational materials for first-year medical students, particularly those focused on respiratory physiology and graphing techniques.

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
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