correct option is D) exponential growth.
Step-by-step explanation:
An exponential function is a function in which the independent variable is an exponent. Exponential functions have the general form [tex]y = f(x) = a^{x}[/tex], where a > 0, a≠1, and x is any real number. The reason a > 0 is that if it is negative, the function is undefined for [tex]-1 < x < 1[/tex]. Restricting a to positive values allows the function to have a domain of all real numbers. In this example, a is called the base of the exponential function. Here , we have
[tex]y = (\frac{1}{2}) 3^{x}[/tex] , this is an increasing exponential function as , value of x increases value of y increases exponentially . And so function y = (1/2)(3)^x or [tex]y = (\frac{1}{2}) 3^{x}[/tex] is an example of exponential growth.
Therefore, correct option is D) exponential growth.
