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Writing a function $f$ when $x$ and $f(x)$ are known

If I am given 9 co-ordinates of a random graph say for e.g

1. (2,1) 2. (4,3) 3. (7,9) 4. (9,5) 5. (10,3) 6. (11,1)  7. (13,4) 8. (15,7) 9. (17,10) 

this is the plotted graph exactly  however it needs to be curved

((this is the plotted graph exactly however it needs to be curved ))

How can i create an equation to approximately fit the graphs trendline curve.

  • 0
    You should probably say which kind of "equation" or function you want. A priori there are various possibilities to write down a function such that all these points lie on the graph.2012-05-08
  • 0
    sorry a polynomial equation2012-05-08
  • 0
    You can use an interpolating polynomial, then...2012-05-08

2 Answers 2