Define a function when given a graph with points (0,3),(2,5),(10,4),(6,2) [closed]

Question

Define a function when you are given a graph with points (0,3),(2,5),(10,4),(6,2)

Answer 1

You can use FindFormula:

list = {{0, 3}, {2, 5}, {10, 4}, {6, 2}};

ClearAll[f]
f = FindFormula[list];

f[x]

$ 3. + 2.12083 x - 0.65 x^2 + 0.0447917 x^3$

f /@ list[[All, 1]]

{3., 5., 4., 2.}

Alternatively, you can use Interpolation:

ClearAll[f2]
f2 = Interpolation[list];
f2 /@ list[[All, 1]]

{3, 5, 4, 2}