Let f:[-2,2]toR be a continuous function...

Let `f:[-2,2]toR` be a continuous function such that f(x) assumes only irrational values. If `f(sqrt2)=sqrt2`, then

f(0)=0

`f(sqrt2-1)=sqrt2-1`

`f(sqrt2-1)=sqrt2+1`

`f(sqrt2-1)=sqrt2`

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