Find the Smallest Value in the Range of the Function $| 2 x | + | 2 x + 3 |$

Multiple Choice

Find the smallest value in the range of the function f (x) = $| 2 x | + | 2 x + 3 |$ .

A) 2
B) 3
C) 5
D) $\frac { 1 } { 2 }$
E) $\frac { 3 } { 2 }$
F) $\frac { 5 } { 2 }$
G) 0

H) 1