Whats the formula your teacher gave you regarding fitting a polynomial with difference measures?
I am given a table of values
x | y
I have found the value of 4th Difference: 24, but I don't know how to to determine an equation for Quartic p01yn0mial function represented by the table of values above..
Original question: Determine equati0n f0r Quartic p0lyn0mial functi0n represented by table of value.
Any solution help would be great! Thanks in advance!
The values indicate that you are going to have something of the form y(x) = (x-a)^4 + 1 for some value a. I make this conclusion on the symmetry of the values on each side of the y-axis.
If the curve is exact try fitting one of the other values to the curve.
If it is not exact try fitting a mean value instead.
With no instructions?
Guess he/she is testing your ingenuity.
Determine the quartic polynomial function represented by this table.
The general quartic function is: .
Since , we have: .
The function becomes: .
Select four more terms and set up a system of equations:
Solve the system: .