Answer:
Option D. (0, 2)
Step-by-step explanation:
we have
[tex]f(x)=2(3)^{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 of change
In this problem
a=2 ---> the initial value ( value of the function when the value of x is equal to zero)
b=3
b=1+r ----> 3=1+r ----> r=2 ---> r=200%
Remember that
The initial value of the function is equal to the y-intercept
The initial value is the point (0,2)
therefore
The y-intercept is the point (0,2)
