Answer:
Option A - Exponential Growth
Step-by-step explanation:
Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]
To find : Identify the type of function given ?
Solution :
The given function is in the form [tex]f(x)=ab^x[/tex]
This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.
If we compare the given expression, [tex]f(x)=\frac{3}{8} (4)^x[/tex]
The initial value is [tex]a=\frac{3}{8}[/tex]
and the growth/decay rate factor [tex]b=4[/tex]
Since b>1 then it is a growth factor.
Refer the attached figure below.
Therefore, Option A is correct.
The function [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.
