Does anyone know a way to identify a function of a given graph?
Ie. you have the max and min points, values where it crosses the x-axis etc.
Assume the graph of a function look like a circle. But how do you know it is a circle? Just because it looks like it, No! Thus, there is not way to state what a function is precisely. Or another example. If it looks like a line does not means it is a line maybe it has a small bend somewhere. We do not know.
However, there is a way to approximate functions. Yes.
Look here. (I explain the most basic case).
2)If you want approximate a curve with another given curve, the set of points is infinite, worse, uncountable! In that case you miminized,
Where the the approximating curve.
Look here. (For an example).