Final answer:
The correct mathematical expression for growth patterns is f(x) = a⋅bˣ.
Step-by-step explanation:
The mathematical expression for growth patterns can vary depending on the specific context. However, out of the given options, the correct mathematical expression for growth patterns would be:
a. f(x) = a⋅bˣ
This is an exponential function where a represents the initial value, b represents the growth factor, and x represents the number of growth periods.