x f(x)   1 1 2 4 3 9 4 16 5 25
We immediately recognize that f(x) can be fit precisely by the function x^{2} but in general this is not the case when we want to interpolate. Suppose we would like the value of f(x) which corresponds to x = 1.7. The simplest method is linear interpolation between the values for x = 1 and x = 2:
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