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Find the equivalent definition of f(x)=m...

Find the equivalent definition of `f(x)=m a xdot{x^2,(-x)^2,2x(1-x)}w h r e0lt=xlt=1`

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The correct Answer is:
`f(x)={{:((1-x)^(2)",", 0 le x le 1/3),(2x(1-x)",", 1/3 le x le 2/3),(x^(2)",", 2/3 le x le 1):}`
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