Question

What are the conditions under which you would know whether a polynomial function is even or odd without an algebraic procedure? function in answer

Answer 1

f(x) = \[f(x) = a _{n}x ^{n ^{n}} + a_{n-1}x ^{n-1}...a _{{2}}x ^{2} + a _{1}x + a _{0}\]

Answer 2

odd functions have odd degrees; even functions have even degrees

Answer 3

so for the example they gave you, with "n"s, is it odd when n is odd and even when n is even?

Answer 4

yes