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Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) ...

Let `f(x)=(1+b^2)x^2+2b x+1` and let `m(b)` the minimum value of `f(x)` as `b` varies, the range of `m(b)` is (A) `[0,1]` (B) `(0,1/2]` (C) `[1/2,1]` (D) `(0,1]`

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