Suppose We Wish to Estimate the Area Under the Curve $\frac { 5 } { 16 }$

Multiple Choice

Suppose we wish to estimate the area under the curve y = x between x = 1 and x = 2 using 2 subintervals of equal length. What is the largest value the approximation could have?

A) $\frac { 5 } { 16 }$
B) 0
C) $\frac { 1 } { 4 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 5 } { 4 }$
F) $\frac { 7 } { 4 }$
G) $\frac { 1 } { 2 }$
H) $\frac { 3 } { 16 }$