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#2: Post edited
Your request doesn't make much sense. If you only have one X-Y pair to meet, then a constant fits the specs perfectly:- f(x) = K
- If it has to meet two X-Y pairs, then a line does it:
- f(x) = K<sub>1</sub>x + K<sub>2</sub>
- A quadratic can hit three points:
- f(x) = K<sub>1</sub>x<sup>2</sup> + K<sub>2</sub>x + K<sub>3</sub>
- This is also known as a "second order" polynomial. Each additional order allows the function to hit one more point exactly (within some limits, like they all have to have different X values).
- If you only have one X-Y pair to meet, then a constant fits the specs perfectly:
- f(x) = K
- If it has to meet two X-Y pairs, then a line does it:
- f(x) = K<sub>1</sub>x + K<sub>2</sub>
- A quadratic can hit three points:
- f(x) = K<sub>1</sub>x<sup>2</sup> + K<sub>2</sub>x + K<sub>3</sub>
- This is also known as a "second order" polynomial. Each additional order allows the function to hit one more point exactly (within some limits, like they all have to have different X values).
#1: Initial revision
Your request doesn't make much sense. If you only have one X-Y pair to meet, then a constant fits the specs perfectly: f(x) = K If it has to meet two X-Y pairs, then a line does it: f(x) = K<sub>1</sub>x + K<sub>2</sub> A quadratic can hit three points: f(x) = K<sub>1</sub>x<sup>2</sup> + K<sub>2</sub>x + K<sub>3</sub> This is also known as a "second order" polynomial. Each additional order allows the function to hit one more point exactly (within some limits, like they all have to have different X values).