Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3^x[/tex]
This is a exponential growth function of the form
[tex]y=a(1+r)^x[/tex]
where
a is the initial value or y-intercept
r is the rate of change
In this problem we have
[tex]a=1[/tex]
[tex]1+r=3\\r=2\\r=200\%[/tex]
The y-intercept of the graph is (0,1)
Find different values of f(x) for different values of x
For x=1 ----> [tex]f(1)=3^1=3[/tex] -----> point (1,3)
For x=2 ----> [tex]f(2)=3^2=9[/tex] -----> point (2,9)
For x=3 ----> [tex]f(3)=3^3=27[/tex] -----> point (3,27)
Plot the points and join them to graph the function
see the attached figure
