Determine if the function is even, odd, or neither.
-$f ( x ) = - 8 x ^ { 4 } + 6 x + 3$
A) Odd
B) Neither
C) Even

Question

Quizplus · Accepted Answer

A function is even if $f(-x) = f(x)$ for all $x$ in the domain and odd if $f(-x) = -f(x)$ for all $x$ in the domain. For $f(x) = -8x^4 + 6x + 3$, $f(-x) = -8(-x)^4 + 6(-x) + 3 = -8x^4 - 6x + 3$, which is neither $f(x)$ nor $-f(x)$. Therefore, the function is neither even nor odd.

Determine If the Function Is Even, Odd, or Neither f(x)=−8x4+6x+3f ( x ) = - 8 x ^ { 4 } + 6 x + 3f(x)=−8x4+6x+3

Determine If the Function Is Even, Odd, or Neither $f ( x ) = - 8 x ^ { 4 } + 6 x + 3$