Characteristics of Polynomials
Determine which of the following polynomial functions is even, odd or neither.
(a) f(x) = 3x^4 - 2x + 1...The answer is neither. BUT what makes it neither?
(b) f(x) = 3x^9 - 2x^5 + 1...The answer is neither. BUT what makes it neither?
Does the constant 1 make the two functions above neither?
Even functions have even powers and odd functions have odd powers. Am I right?
Neither functions involve functions that have both even and odd powers. Am I right?
I am still unclear about the "neither" concept.
To me, function (a) is even and and function (b) is odd.
The textbook tells me that I am wrong.
Can someone explain in simple terms this "neither" concept?
I want to fully grasp all basic concepts of precalculus before starting calculus 1 next semester.
By the way, I passed precalculus last semester with an A minus thanks to the wonderful math teachers on this website.