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Question

The odd extension of the function y = x2 is y = −x2


A

True

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B

False

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Solution

The correct option is B

False


We define odd extension or even extension by extending the domain of the function and defining the function for the extended part. The given function x2 is an even function and it is defined for all real values of x. So we can not further extend the domain to make it odd.


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