Which of the following is an odd function?
A) $f ( x ) = x ^ { 3 } - x ^ { 2 }$
B) $g ( x ) = \frac { 5 } { x }$
C) $h ( x ) = x ^ { 4 } - x ^ { 2 }$
D) $k ( x ) = | x - 2 |$

Question

Quizplus · Accepted Answer

An odd function satisfies the condition $f(-x) = -f(x)$. For choice B, $g(-x) = \frac{5}{-x} = -\frac{5}{x} = -g(x)$, which makes it an odd function. Choices A, C, and D do not satisfy this condition.

Which of the Following Is an Odd Function? A) f(x)=x3−x2f ( x ) = x ^ { 3 } - x ^ { 2 }f(x)=x3−x2

Which of the Following Is an Odd Function?
A) $f ( x ) = x ^ { 3 } - x ^ { 2 }$