Find f(x) from 1.22, 2.25, 3.24: How to Calculate

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The discussion revolves around finding a function f(x) that fits the points f(1) = 1.22, f(2) = 2.25, and f(3) = 3.24. A suggested solution is a quadratic function, specifically f(x) = -0.02x² + 1.09x + 0.15, which passes through the given points. However, it's noted that there are infinitely many possible functions that could fit these values. Participants are encouraged to explore and create their own valid functions based on the data provided. The conversation highlights the flexibility and creativity involved in mathematical problem-solving.
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Can anybody tell me the relation between this numbers? I mean, say there's f(x) = 1.22 at x=1, f(x)= 2.25 at x=2 and so on..I need to know f(x).
 
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It's hard to say without knowing more terms. If you need any function that passes through those three points you could use the quadratic f(x) = -0.02x2 + 1.09x + 0.15.
 
Last edited:
burochokkotti said:
Can anybody tell me the relation between this numbers? I mean, say there's f(x) = 1.22 at x=1, f(x)= 2.25 at x=2 and so on..I need to know f(x).
There are innumerably many correct answers as to what f(x) might be.

Which one do you want?

Edit:
Make your own correct answer! :smile:
 

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