If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

If there are  values of  corresponding to  values of , the function  can be represented by a polynomial of degree .

This is based on the concept of polynomial interpolation, specifically the Lagrange interpolation formula, where given  distinct points, a unique polynomial of degree  will pass through all those points.

@zaasmi said in If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree:

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

n+1
n+2
n
n-1

n

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

n+1
n+2
n
n-1