From the question, we are to use the tables to determine which function will eventually exceed the other and to also provide reason.
From the tables given, we can say that f(x) will eventually exceed g(x) because f(x) is an exponential function.
First let's know what an exponential function is.
An exponential function refers to a mathematical function in the following form:
f(x) = a^x
Here,
x is a variable
and a is a constant called the base of the function.
Therefore, based on the given table, we can say that f(x) will eventually exceed g(x) because f(x) is an exponential function.