1. Graph a function with following properties. X - - BE lim f (x) =0, lim f (x)=co, lim f (x) =1, f(0) =5 E - + * X -0 x -4 lim f ( x) = -20, lim f (x)=co, lim f(x) =2 a) State the intervals of continuity for f (x) b) State the vertical and horizontal asymptotes of f (x) 2. Determine the intervals on which f (x ) is continuous, show all your work and justify your conclusions: 2x+1 if xn