Question

Write a rule that represents the function
(0,-1), (1,0), (2,7), (3,26), (4,63)

Answer 1

someone had a question the other day that i had to look at about the order of a polynomial by a difference of each value

Answer 2

y increases by

1 7 19 37
6 12 18
6 6

it takes 3 times to get to a constant value

Answer 3

if you have a polynomial order n=3,
then
it takes 3 derivatives to get to a constant value

Answer 4

i forget what that process is called now, difference thing

Answer 5

some rule in algebra , given n points, you can fit a polynomial of degree (n-1) or less to those points

Answer 6

just rememebered
'finite difference' is what that is called for that difference in y value thing -- if that is what you learned

Answer 7

http://www.trans4mind.com/personal_development/mathematics/series/polynomialEquationDifferences.htm

Answer 8

or for calc, something about showing power rule and polynomials