Examine the Leading Term and Determine the Far-Left and Far-Right $P ( x ) = 5 x ^ { 5 } + 5 x ^ { 3 } - 2 x ^ { 2 } + 8$

Multiple Choice

Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function $P ( x ) = 5 x ^ { 5 } + 5 x ^ { 3 } - 2 x ^ { 2 } + 8$ .

A) up to the far left, up to the far right
B) up to the far left, down to the far right
C) down to the far left, up to the far right
D) down to the far left, down to the far right
E) cannot be determined