# Math Help - graph of functions

1. ## graph of functions

I need help to plot the graph of following equation with the conditions given below
$F(\pi)$ =(a $\pi$* $\pi$+b $\pi$+ $c$)/( d $\pi$* $\pi$ +e $\pi$+ $f$)

where $\alpha$ & $\beta$ are roots of denominator.. and $\gamma$ & $\theta$ are roots of numerator

(i) $\alpha$ < $\gamma$ < $\beta$ < $\theta$
(ii) $\alpha = \beta$ & $\gamma$ $=$ $\theta$ & $\alpha < \gamma$
(iii) all the roots are imaginary
(iv) numerator has no roots
(v) denominator has no roots

i don't need the answers... i really need the method(Logic)
If there are any short cuts.. please tell me