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

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

Quizplus · Accepted Answer

The function is neither odd nor even because $f(-x) = \frac { (-x) ^ { 3 } } { | -x + 5 | } = \frac { -x ^ { 3 } } { | -x + 5 | } = - \frac { x ^ { 3 } } { | x + 5 | } = -f(x)$, so it is not even, and $f(-x) \neq -f(x)$, so it is not odd.

Determine If the Function Is Odd, Even, or Neither f(x)=x3∣x+5∣f ( x ) = \frac { x ^ { 3 } } { | x + 5 | }f(x)=∣x+5∣x3​

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