Provide an appropriate response.Explain why  = ?x? when k is even but  = x when k is odd.

What will be an ideal response?


When k is even,  represents a nonnegative number. When x is nonnegative, then  represents x. When x is negative, then  represents the opposite of x. In all cases,  represents ?x? when k is even. When k is odd, the sign of  is the same as the sign of x. Thus  when k is odd.

Mathematics

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