let `f:R->R` be a continuous function defined by `f(x)=1/(e^x+2e^-x)`

Let f: R to R be a continuous function defined by f(x)=(1)/(e^(x)+2e^(-x)) Statement -1 : f(x)=(1)/(3) , for some c in R . Statement -2, 0 ltf(x) le (1)/(2sqrt(2))AAx in R .

Let f : R->R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^x+e^(-x)) then --(1) f is bijection (2) f is an injection only (3) f is a surjection (4) f is neither injection nor a surjection

Let f(x) be real valued continuous function on R defined as f(x)=x^(2)e^(-|x|) then f(x) is increasing in

Let f(x) be real valued continuous function on R defined as f(x)=x^(2)e^(-|x|) then f(x) is increasing in

Let f:R->R be a function defined by f(x)=x^2-(x^2)/(1+x^2) . Then:

Let f:R rarr R be a function defined by f(x)=(e^(|x|)-e^(-x))/(e^(x)+e^(-x)) then -(1) fis bijection (2) fis an injection only (3) f is a surjection fis neither injection nor a surjection