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?

Options

A. f(x) is decreasing on (-1,1) and has a local minimum at x=1
B. f(x) is increasing on (-1,1) and has a local maximum at x=1
C. f(x) is increasing on (-1,1) but has neither a local maximum nor a local minimum at x=1
D. f(x) is decreasing on (-1,1) but has neither a local maximum nor a local minimum at x=1

Answer

A