Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=4(\frac{1}{2})^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem we have
a=4 ----> initial value (y-intercept)
b=1/2
so
1+r=1/2
r=1/2-1=-1/2
r=-0.5=-50% ----> is negative because is a decrease rate
using a graphing tool
The graph in the attached figure
