Choose the Graph Which Matches the Function $f ( x ) = \left( \frac { 1 } { 2 } \right) ^ { x } \sin 3 x$

Multiple Choice

Choose the graph which matches the function.
- $f ( x ) = \left( \frac { 1 } { 2 } \right) ^ { x } \sin 3 x$

A) Damping factor $= 3$ , damping occurs as $x \rightarrow 0$
B) Damping factor $= \left( \frac { 1 } { 2 } \right) ^ { x }$ , damping occurs as $x \rightarrow \infty$
C) No damping
D) Damping factor $= \left( \frac { 1 } { 2 } \right) ^ { x }$ , damping occurs as $x \rightarrow 0$