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A function f(x) is said to be even if f(-x) = f(x), and odd if f(-x)=-f(x). Thus , for exampe , the function given by f(x)=${x}^{2}$ , while the function given by f(x)=${x}^{3}$ is odd. Using this definition , answer the following questions.

Q.)The function given by f(x) = ${|x|}^{3}$ is

A)Even

B)Odd

C)Neither

D)Both

Solution :

f(x) = ${|x|}^{3}$

f(-x) = ${|-x|}^{3}$ = ${|x|}^{3}$ = f(x)

Hence , the given function is even.

Hence, OPTION(A)