Consider the function `f:(-oo,\ oo)->(-oo,oo)` defined by `f(x)=(x^2-a x+1)/(x^2+a x+1),\ 0

Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2 - ax + 1)/(x^2+ax+1) ;0 lt a lt 2 . Which of the following is true?

Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^2-ax+1)/(x^2+ax+1), 0ltalt2 , and let g(x)=int_0^(e^x) (f\'(t)dt)/(1+t^2) . Which of the following is true? (A) g\'(x) is positive on (-oo,0) and negative on (0,oo) (B) g\'(x) is negative on (-oo,0) and positive on (0,oo) (C) g\'(x) changes sign on both (-oo,0) and (0,oo) (D) g\'(x) does not change sign on (-oo,oo)

f:(-oo,oo)rarr(-oo,oo) defined by f(x)=x^(3)

Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^(2)-ax+1)/(x^(2)+ax+1);0

Consider the function f : (-oo , oo) to (-oo , oo) defined by f(x) = (x^(2) - ax + 1)/(x^(2) + ax + 1) , 0 lt a lt 2 Let g (x) = underset(0) overset(e^(x))(int) (f'(t))/(1 + t^(2)) dt Which of the following is true ?

Consider the function f(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^(2)-a)/(x^(2)+a), agt0 which of the following is not true?

f:(-oo,oo)rarr(-oo,oo) defined by f(x)=|x| is

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.

The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is