For the function `f(x)=(e^x)/(1+e^x),` which of the following hold good? `f` is monotonic in its entire domain. Maximum of `f` is not attained even though `f` is bounded `f` has a point of inflection. `f` has one asymptote.

Consider the function f:(-oo,oo)vec(-oo,oo) defined by f(x)=(x^2+a)/(x^2+a),a >0, which of the following is not true? maximum value of f is not attained even though f is bounded. f(x) is increasing on (0,oo) and has minimum at ,=0 f(x) is decreasing on (-oo,0) and has minimum at x=0. f(x) is increasing on (-oo,oo) and has neither a local maximum nor a local minimum at x=0.

Let f : R ->R defined by f(x) = min(|x|, 1-|x|) , then which of the following hold(s) good ?

If f(x)=e^(1-x) then f(x) is

Draw the graph of f(x) = e^(x)/(1+e^(x)) . Also find the point of inflection.

Find the domain of each of the following functions: f(x)=e^(x+sinx)

Given the function f(x) = 1/( 1-x) , The points of discontinuity of the composite function f[f{f(x)}] are given by

The domain of the function f(x) is denoted by D_(f)

For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the following statement/statements hold good? 1 . f(x) is non-monotonic. 2 . f(x) increases in (-oo,-2)uu(-1,oo) and decreases in (-2,-1) 3 . f: RvecR is bijective. 4 . Inflection point occurs at x=-3/2dot

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))