Answer:
b. g(x), because it grows faster than f(x)
Step-by-step explanation:
First differences of f(x) have a difference of 2. This is characteristic of a quadratic function (second differences are constant).
First differences of g(x) have a ratio of 2, as do the terms of g(x). This is characteristic of an exponential function (terms and differences have a common ratio).
We note, too, that g(x) grows faster than f(x). An exponential function will grow faster than any polynomial function. An appropriate choice is ...
b. g(x), because it grows faster than f(x)
