I am primarily interested in the NATURE of square root functions. ie: What kinds of behavior, situations, or models are best described with a square root function ?
I have seen a grading curve scale as $y=10\sqrt{x}$
This makes lower grades increase much more than higher grades.
This is illustrated on the graph above where it is steeper for lower x values.
What are some other situations where the main theme is that lower numbers are magnified and higher numbers, not so much?
Does the inverse-square law of gravity apply here? The lower the distance, the higher the gravitational pull (and not in a linear manner, but a squared relationship) <-- what is the right phrasing of that idea?
