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

Let f (x) = `(1 + b)^(2) x^(2) + 2bx + 1 ` and let m(b) be 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]

Text Solution

Verified by Experts

The correct Answer is:
D
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