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A function defined for all real numbers ...

A function defined for all real numbers is defined for `x>=0` as follows `f(x)={{:(x|x|, 0<=x<=1), (2x, x>=1):}`
How if f defined for `x<=0`.
If (i) f is even ? (ii) f is odd ?

Text Solution

Verified by Experts

The correct Answer is:
(i) `f(x)={{:(-2x",", x le -1),(-xabs(x)",", -1 lt x le 0):} " (ii) " f(x)={{:(-2x",", x le -1),(xabs(x)",", -1 lt x le 0):}`\
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