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, find the range of m(b).

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]

Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) be the minimum value of f(x)dot As b varies, the range of m(b) is (a) [0,} b. (0,1/2) c. 1/2,1 d. (0,1]

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]

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]

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]

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]

Let f(b) be the minimum value of the expression y=x^(2)-2x+(b^(3)-3b^(2)+4)AA x in R . Then, the maximum value of f(b) as b varies from 0 to 4 is