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If the graph is a polynomial of order n then n+1 points are enough. So, for a straight line (n = 1) , you need two points.

For exponential graphs three points are sufficient. For trigonometric graphs, no number of points are enough since aliasing is always a possibility.

Also, for statistical graphs random errors mean that each additional point is expected to improve the line of best fit.

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Q: What is the minimum number of points you should have for your graph?
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