Consider polynomial functions in the form f(x) = ax^n + x. Use at least three examples to investigate the relationship between a, n, and the constant finite differences. Explain the steps you took in your investigation and any conclusions you found.
Genuinely have no idea how to answer this. I know the constant finite difference is calculated by multiplying by coefficient a and n factorial but not sure what the question is asking.
2 answers
Can someone please explain?
the nth difference is constant for x^n
consider the nth derivative
consider the nth derivative