Determine if the function is even, odd, or neither.
-$$f ( x ) = - 4 x ^ { 4 } - 5 x + 7$$
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 $f(x) = -4x^4 - 5x + 7$, replacing $x$ with $-x$ gives $-4(-x)^4 - 5(-x) + 7 = -4x^4 + 5x + 7$, 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)=−4x4−5x+7f ( x ) = - 4 x ^ { 4 } - 5 x + 7f(x)=−4x4−5x+7

Determine If the Function Is Even, Odd, or Neither $f ( x ) = - 4 x ^ { 4 } - 5 x + 7$