f: `D->R, f(x) = `(x^2 +bx+c)/(x^2+b_1 x+c_1) where`alpha,beta` are the roots of the equation `x^2+bx+c=0` and `alpha_1,beta_1` are the roots of `x^2+b_1 x+ c_1= 0`. Now answer the following questions for f(x). A combination of graphical and analytical approach may be helpful in solving these problems. (If `alpha_1 and beta_1` are real, then f(x) has vertical asymptote at x = `alpha_1,beta_1`

Options

A. `f(x)`has a maxima in `[alpha_(1),beta_(1)]` and a minima in `[alpha,beta]`
B. `f(x)` has a minima in `(alpha_(1),beta_(1)]` and a maxima in `(alpha,beta)`
C. `f^(')(x)gt0` whenever denfined
D. `f^(')(x)lt0` whenever defined

Explanation

NA