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

Let `f(x) = (1+b^(2))x^(2) + 2bx + 1` and let m (b) be the minimum value of f(x). As b varies, find the range of m(b).

A

[0,1]

B

`[0,1//2]`

C

`[1//2,1]`

D

`(0,1]`

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The correct Answer is:
D
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