Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=2(4^x)[/tex]
This is a exponential function of the form
[tex]f(x)=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
[tex]a=2\\b=4\\r=b-1=4-1=3=300\%[/tex]
For x=0
[tex]f(0)=2(4^0)[/tex] -----> [tex]f(0)=2[/tex] ---> y-intercept or initial value
For x=1
[tex]f(1)=2(4^1)[/tex] -----> [tex]f(1)=8[/tex]
Identify the graph
using a graphing tool
The graph in the attached figure
