Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = \sqrt [ 3 ] { x }$$
A)even
B)odd
C)neither

Name: Determine algebraically whether the function is even, odd, or neither. -\[f ( x ) = \sqrt [ 3 ] { x }\] A)even B)odd C)neither
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Question

Quizplus · Accepted Answer

An odd function satisfies the condition $f(-x) = -f(x)$. For $f(x) = \sqrt[3]{x}$, we have $f(-x) = \sqrt[3]{-x} = -\sqrt[3]{x} = -f(x)$, which means the function is odd.

Determine Algebraically Whether the Function Is Even, Odd, or Neither f(x)=x3f ( x ) = \sqrt [ 3 ] { x }f(x)=3x​

Determine Algebraically Whether the Function Is Even, Odd, or Neither $f ( x ) = \sqrt [ 3 ] { x }$