Sketch the Graph of the Function $p ( x ) = - \frac { 1 } { 2 } x ^ { 5 } + x ^ { 4 } + 2 x ^ { 3 } - 4 x ^ { 2 }$

Essay

Sketch the graph of the function $p ( x ) = - \frac { 1 } { 2 } x ^ { 5 } + x ^ { 4 } + 2 x ^ { 3 } - 4 x ^ { 2 }$ . Make sure your graph shows all intercepts and exhibits the proper end behavior.