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Let nge2 be a natural number and f:[0,1]...

Let `nge2` be a natural number and `f:[0,1]rarrRR` be the function defined by `f(x)={(n(1-2nx),if0lexle1(2n)),(2n(2nx-1),if 1/(2n)lexle3/(4n)),(4n(1-nx),if3/4nlexle1/n),(n/(n-1)(nx-1),if1/nlexle1):}` If n is such that the area of the region bounded by the curves `x=0,x=1,y=0` and `y=f(x) ` is 4 ,then the maximum value of the function f is

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JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
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