Determine if the function is even, odd, or neither.
-$$f ( x ) = - 8 x ^ { 5 } + 3 x ^ { 3 }$$
A) Even
B) Odd
C) Neither

Name: Determine if the function is even, odd, or neither. -\[f ( x ) = - 8 x ^ { 5 } + 3 x ^ { 3 }\] A) Even B) Odd C) Neither
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Question

Quizplus · Accepted Answer

The function is odd because both terms, $-8x^5$ and $3x^3$, are odd functions. An odd function satisfies $f(-x) = -f(x)$, and for both terms, replacing $x$ with $-x$ results in the original function being multiplied by $-1$.

Determine If the Function Is Even, Odd, or Neither f(x)=−8x5+3x3f ( x ) = - 8 x ^ { 5 } + 3 x ^ { 3 }f(x)=−8x5+3x3

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