Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound. $$f ( x ) = 2 ^ { - \frac { x } { 4 } } \cos x$$
A) As x → ∞,f(x)→ 0.
B) As x → ∞,f(x)→ 0.
C) As x → ∞,f(x)→ 0.
D) The function f(x)is unbounded as x → ∞.
E) The function f(x)is unbounded as x → ∞.

Question

Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ $$f ( x ) = 2 ^ { - \frac { x } { 4 } } \cos x$$
A)​ As x → ∞,f(x)→ 0. 
B)​ As x → ∞,f(x)→ 0. 
C) As x → ∞,f(x)→ 0. 
D)​ The function f(x)is unbounded as x → ∞. 
E)​ The function f(x)is unbounded as x → ∞.

Quizplus · Accepted Answer

The Answer of Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ $$f ( x ) = 2 ^ { - \frac { x } { 4 } } \cos x$$
A)​ As x → ∞,f(x)→ 0. 
B)​ As x → ∞,f(x)→ 0. 
C) As x → ∞,f(x)→ 0. 
D)​ The function f(x)is unbounded as x → ∞. 
E)​ The function f(x)is unbounded as x → ∞.

Use a Graphing Utility to Select the Graph the Damping f(x)=2−x4cos⁡xf ( x ) = 2 ^ { - \frac { x } { 4 } } \cos xf(x)=2−4x​cosx

Use a Graphing Utility to Select the Graph the Damping $f ( x ) = 2 ^ { - \frac { x } { 4 } } \cos x$