The range of `1/(1+x^2)` is
1) (0.-1]
2) (0,2]
3) [1.5]
4) (1,5)

The range of f(x)=(x^(4))/(1+x^(8)) is (1)[0,oo)(2)[0,(1)/(2)](3)[0,1](4)(-oo,oo)

Let [], and {} denotes the greatest integer function and fractional function, consider the following statements. S_(1) : The range of ({x})/(1+{x}) is [0, (1)/(2)) S_(2) : The range of [(1)/(sin {x})] is Z^(+) S_(3) : The range of (x^(2) + 2)/(x^(2) + 3) is [(2)/(3), 1) S_(4) : The range of sin sqrt((pi^(2))/(16) - x^(2)) is [0, (1)/(sqrt(2))] Which of the following is the combination of true statements ?

The range of f(x)=sin^(2)x+cos^(4)x is (1)[(1)/(2),1](2)[(3)/(4),1](3)[0,1](4)[0,(1)/(4)]

The range of f(x)=sin^(2)x+cos^(4)x is (1)[(1)/(2),1](2)[(3)/(4),1](3)[0,1](4)[0,(1)/(4)]

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]

If x,y>0, then the range of sin^(-1)((x)/(1+x^(2)))+sin^(-1)((2y)/(1+y^(2))) is (0,(2 pi)/(3)]

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

Consider the following statements Statement 1: The range of log_(1)(1/(1+x^(2))) is (-oo,oo) Statement 2: If 0ltxle1 , then range of logx epsilon(-oo,0] Which of the following is correct

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) (1) (1) (3 pi)/(4) pi) (0 (3 pi)/(4) 0 (0 pi)