Determine if the function is odd, even, or neither.
-$f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$
A) Neither
B) Odd
C) Even

Name: Determine if the function is odd, even, or neither. -$f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$ A) Neither B) Odd C) Even
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Question

Quizplus · Accepted Answer

A function is odd if $f(-x) = -f(x)$. For $f(x) = \frac{-\sqrt[3]{x}}{8x^2}$, substituting $-x$ for $x$ gives $f(-x) = \frac{-\sqrt[3]{-x}}{8(-x)^2} = \frac{\sqrt[3]{x}}{8x^2}$, which is the negative of $f(x)$, thus it's odd.

Determine If the Function Is Odd, Even, or Neither f(x)=−x38x2f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }f(x)=8x2−3x​​

Determine If the Function Is Odd, Even, or Neither $f ( x ) = \frac { - \sqrt [ 3 ] { x } } { 8 x ^ { 2 } }$