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

The function:f(x)x7?3)

The expected answer should look like this: Please type it like this don't hand write it. thank you

My function: f(x) = x^6 +2 With the supporting flow chart and graph below, the rule of a polynomials degree corresponding with the number of differences that must be calculated to reach a constant difference applies to polynomial functions of degrees higher than 4 as well. As seen below, the function f(x)= x^6 + 2 follows suit of this rule, as it took me to the 6th differences in order to reach a constant difference, corresponding with this polynomial functions degree of 6. 1st 2nd 3rd 4th 5th 6th x y differences differences differences differences differences differences -3731 1-665 602 .540 480 360 720 -2 66 63 62 -60 120 360 720 -13 - 1 2 60 480 1080 0 2 1 62 540 1560 1 3 63 602 2100 2 665 2702 3 3367 4 4098 + 88 desmos desmos 15