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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)dot` As `b` varies, the range of `m(b)` is
(a) `[0,1]` (b) `(0,1/2]` (c) `[1/2,1]` (d) `(0,1]`

A

[0,1]

B

`[0,1/2]`

C

`[1/2,1]`

D

(0,1]

Text Solution

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The correct Answer is:
D
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