about end behavior. (a) The graph of a function, f(x), has the following properties. Sketch the graph of f (x) on the axes provided. Make your characteristics painfully obvious. Use arrows to reinforce end behavior or vertical asymptotes. lim f(x) DNE . lim f(x) = -8 i f (3) DNE 2 - - 5 x -+ 0+ . lim f(x) = 8 lim f (x) = -5 x-0- x-+3 4x3 + ax+ 3 . f(x) has the same end behavior as (a is a positive constant. ) 2x + 23 + 1000