What is the Degree of this Curve?

[mymachine]

I wonder how many degree of this curve where the endpoints are A0, A3, and A6?

Is it degree of 6?

 

[mathman]

The minimum degree polynomial, when given n points, is of degree n-1. You are given 7 points so the minimum fitting polynomial is of degree six.

 

[rcgldr]

The minimum degree polynomial, when given n points, is of degree n-1. You are given 7 points so the minimum fitting polynomial is of degree six.

Isn't this the maximum of the minimum degree polynomial that exactly fits n points? It's possible that the n points could be exactly fitted with a polynomial of lower degree.

 

[Petek]

You can use Lagrange interpolation to write down an explicit polynomial that passes through the given points. As the Wikipedia article notes, such a polynomial will be of minimum degree. However, what do you mean by saying that A3 is an endpoint?

 

[CellCoree]

The degree of a curve is determined by the highest power of the independent variable in the equation of the curve. In this case, the endpoints A0, A3, and A6 suggest that the curve is a polynomial of degree 6. However, without more information about the specific equation of the curve, it is not possible to accurately determine the degree. It is important to note that the degree of a curve can only be determined if the equation of the curve is known.