Question

The functions p(x) and g(x) are shown below:

Answer 1

Assuming that you actually mean that: p(x) = (0.09)^x, then the correct answer would be:

"The graph of g(x) will eventually exceed the graph of p(x)."  

This is because the function p(x) is an exponential decay function, and the function g(x) increases at a constant rate. Although p(x) would be greater at first, as the value of x increases, then g(x) will slowly catch up.