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

Essay

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