Suppose S₄ is the Upper Sum of the Area Enclosed $f ( x ) = x ^ { 2 } + 2,$

Multiple Choice

Suppose S₄ is the upper sum of the area enclosed by the graph $f ( x ) = x ^ { 2 } + 2,$ the x-axis, and the lines x = 0 and x = 2 by partitioning [0, 2] into four subintervals [0, 1/2], [1/2, 1], [1, 3/2], and [3/2, 2]. Then S₄ is

A) 8.5
B) 8.25
C) 8.125
D) 7.825
E) 7.75