Question

1 = 3 2 = 3 3 = 5 4 = 45 = 46 = ?​

Answer 1

So if we assume the function to be f(x) then we know its value at 5 points.

Let’s say f(6)=K, so now we know it’s value at 6 points.

Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.