Answer: Exponential growth.
Step-by-step explanation:
1. You have the following function:
[tex]f(x)=3(1.5)^{x}[/tex]
2. By definition, an exponential function has the following form:
[tex]f(x)=ab^{x}[/tex]
Where a is the coefficient, b is the base and x is the exponent.
3. The growth of this function is non-linear, because the rate of growth is not constant.
4. For example if in the function given in the problem x=4, this means that y=3(1.5*1.5*1.5*1.5)
5. Therefore, the answer is exponential growth.