[" The range of "f(x)=3^(-|x|)-3^(x)+sgn(e^(-x))+2],[" (where sgn "x" denotes signum function of "x)]

Let f:R to R be defined by f(x) = 5^(-|x|) - 5^(x) + sgn (e^(-x)) + 4 where sgn (x) denotes the signum function of x. Then

f(x)=3^(-|x|)-3^(x)+sgn(e^(-x))+2 (where sgn x denotes signum function of x ).Then which one of the following is correct?

Find the range of f(x)=sgn(x^2-2x+3)

Find the range of f(x)=sgn(x^(2)-2x+3)

If f(x)=sgn(cos 2x - 2 sin x + 3) , where sgn () is the signum function, then f(x)

If f(x)=sgn(cos 2x - 2 sin x + 3) , where sgn () is the signum function, then f(x)

If f(x)=sgn(cos 2x - 2 sin x + 3) , where sgn () is the signum function, then f(x)

If f(x)=cos^(-1)(sgn((2[x])/(3x-[x]))) , where sgn ( ) denotes the signum function and [.] dentoes the greatest integer functions, then which of the following is/are correct?

Let f:R^(+)rarr{-1,0,1} defined by f(x)=sgn(x-x^(4)+x^(7)-x^(8)-1) where sgn denotes signum function then f(x) is (1) many- one and onto (2) many-one and into one-one and onto (4) one- one and into