Determine if the function is even, odd, or neither.
-$f ( x ) = 4 x ^ { 4 } - 6 x - 5$
A) Even
B) Odd
C) Neither

Name: Determine if the function is even, odd, or neither. -$f ( x ) = 4 x ^ { 4 } - 6 x - 5$ A) Even B) Odd C) Neither
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Question

Quizplus · Accepted Answer

A function is even if $f(-x) = f(x)$ for all $x$ in the domain of $f$, and odd if $f(-x) = -f(x)$ for all $x$. For $f(x) = 4x^4 - 6x - 5$, $f(-x) = 4(-x)^4 - 6(-x) - 5 = 4x^4 + 6x - 5$, 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)=4x4−6x−5f ( x ) = 4 x ^ { 4 } - 6 x - 5f(x)=4x4−6x−5

Determine If the Function Is Even, Odd, or Neither $f ( x ) = 4 x ^ { 4 } - 6 x - 5$