Create polynomial function with a degree greater than 4. Calculate the finite differences until they are constant. Create graph to illustrate the function.

The expected answer look like this:

You can extend the flow chart to polynomial functions with a degree higher than 4! f ( x) = x^6 1st 2nd 3rd 4th 5th 6th X y difference difference difference difference difference difference .3 729 665 602 540 480 480 960 -2 64 63 62 60 480 - 1 1 -1 12 60 480 O 0 62 540 1 1 63 602 2 64 665 3 729 Even numbered degree functions take the shape of a curved line flattening on the x-axis (quartic shape), and as the number rises, the lines on the graph will become longer/steeper. Likewise, odd numbered degree functions take the shape of a straight line flattening on the x-axis (cubic shape) while also crossing the y-axis, and again as the number rises, the lines on the graph will become longer/steeper. -10 -5