Answer:
The correct option is (C) Exponential growth.
Step-by-step explanation:
The simplest exponential function is: f(x) = [tex]a^{x}[/tex], a>0, a≠1
If the x is positive then graph of exponential is increasing and if the x is negative then graph of exponential is decreasing.
In given function [tex]f(x)=\frac{1}{2}\times(3)^x[/tex]
x is positive so, it is graph of exponential growth.
Hence, the correct option is (C) Exponential growth.