Question

The function y = (1/2)(3)^x is an example of

Answer 1

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 $y = f(x) = a^{x}$, 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 $-1 < x < 1$. 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

$y = (\frac{1}{2}) 3^{x}$ , 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 $y = (\frac{1}{2}) 3^{x}$ is an example of exponential growth.

Therefore, correct option is D) exponential growth.