Determine if the function is even, odd, or neither.
-$f ( x ) = - 8 x ^ { 3 } + 5 x ^ { 2 } - 2$
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 $f(x) = -8x^3 + 5x^2 - 2$, $f(-x) = -8(-x)^3 + 5(-x)^2 - 2 = 8x^3 + 5x^2 - 2$, 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)=−8x3+5x2−2f ( x ) = - 8 x ^ { 3 } + 5 x ^ { 2 } - 2f(x)=−8x3+5x2−2

Determine If the Function Is Even, Odd, or Neither $f ( x ) = - 8 x ^ { 3 } + 5 x ^ { 2 } - 2$