Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window. $$f ( x ) = 7 \cdot 2 ^ { - \frac { x } { 4 } } \cos \pi x$$
A)
B)
C)
D)

Question

Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ $$f ( x ) = 7 \cdot 2 ^ { - \frac { x } { 4 } } \cos \pi x$$ ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

The damping factor can be determined by examining the decay of the exponential function. In this case, the function appears to have a very small damping factor, as the decay is slow and the graph does not appear to approach zero. Only option C shows a graph that has a small damping factor and matches the shape of the given function.

Use a Graphing Utility to Select the Graph of the Function