Answer:
D.Exponential decay
Step-by-step explanation:
The given function is [tex]f(x)=2(\frac{1}{2}) ^{x}[/tex] This is an exponential function.
This function is of the type :
f(x)=[tex]a^{x}[/tex]
a is any value greater than 0.
As x increases, f(x) heads to 0
As x decreases, f(x) heads to infinity.
These type of functions are decreasing function .
In the given function a=[tex]\frac{1}{2}[/tex] and so it is a decreasing function and hence it is an exponential decay function.
Option D is the right option.