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The function f(x)=|x|-x^(3) is...

The function `f(x)=|x|-x^(3)` is

A

odd

B

even

C

both even and odd

D

neither even nor odd

Text Solution

Verified by Experts

The correct Answer is:
D
`f(x)=|x|-x^(3)`
`f(x)={{:(x-x^(3)",",xge0),(-x-x^(3)",",xlt0):}" "f(-x)={{:(x+x^(3)",",xge0),(x+x^(3)",",xlt0):}`
Neither even nor odd.
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