Question

The odd extension of the function y = $x^2$ is y = $-x^2$

• A. True
• B. False

Answer 1

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 $x^2$ 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.