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1 year ago in Applied Mathematics , Data Analysis By Kumar

How do you find the equation of a curve from its graph?

In my lab, we often generate data plots from experiments, and the next step is finding a governing equation. The process seems more art than science sometimes. Could you outline a reliable, step-by-step scholarly approach for moving from a graphical shape to a candidate mathematical model?

HigherMathematics EquationfromGraph

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By Seema Answered 9 months ago

From years in both pure and applied mathematics, I treat this as a diagnostic process. First, I visually assess the graph's core behavior: is it linear, polynomial, exponential, or periodic? This identifies the family. Next, I look for key features intercepts, asymptotes, turning points which act as forensic clues. Finally, I use those points to solve for specific parameters. For messy real data, I would recommend a statistical fitting tool, but always let the visual shape guide your choice of model. The graph tells a story; your job is to translate its language into algebra.

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