[" 4.If "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 "]

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 :

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).

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

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

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

Let f(x0=(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

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 [0,} b.(0,(1)/(2)) c.(1)/(2),1 d.(0,1]

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