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Question

Find the odd and even extensions of f(x) = x4x3+x2 (x > 0)

[ Assume the domain and range is x < 0 of the following function ]


A

odd = , even =

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B

odd = , even =

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C

odd = , even =

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D

odd = , even =

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Solution

The correct option is A

odd = , even =


Even extention of f(x): f(-x) = x4+x3+x2, x < 0

Odd extention of f(x): -f(-x) = x4x3x2, x < 0


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