Finite differences and polynomial degree
Use successive differences for equally spaced input values.
- Check that the input spacing is equal before using a difference pattern.
- For a polynomial of degree
, the th differences are constant and non-zero. - A short table can support a polynomial model, but cannot prove that all unseen values follow it.
Example
Constant second differences
Use finite differences to identify the polynomial degree.
Your turn
5 practice questions0 of 5 answers checked
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Check answer
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Check answer
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Check answer
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Check answer
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Check answer
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.
Assuming these values follow a polynomial of degree at most 4, use differences to identify its degree.