I'm studying calculus in college and I was thinking about how you can find the derivative to find instantaneous rate of change if you know the function and it's graph but how would you find a function that correlates to the graph of it's values without the use of a graphing calculator or special program?
For example if I collected data from a road trip in time(t) and speed(y) and graphed it. How would I find the function inuitively or by hand/ paper and pencil?
Linear functions are easy to find through algebra but what about scientifically collected data which tend to be exponential functions?
How to find the function given only a graph and it's values?
If you suspect the function is exponential, graph it on a logarithmic scale (where it should be linear). Then you can use your techniques for finding linear functions to fit your data. Once you've done that you can convert it back to exponential.
wisdom teeth
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