Given $($dy$)/($dx$)=$f$($y$)$ where the graph of f$($y$)$ is given below,

$($a$)$ Sketch the phase line $($portrait$)$ and classify all of the critical $($equilibrium$)$ points. Use arrows to indicated the

flow on the phase line $($away or towards a critical point$).$

$($b$)$ Next to your phase line, sketch the graph of solutions passing through the given points:

y$(0)=(1)/(2),$y$(0)=(3)/(2),$y$(0)=(5)/(2),$y$(0)=3.$