Use the tables to determine which function will eventually exceed the other, and provide your reasoning.

x f(x)
−1 .333
0 1
1 3
2 9

x g(x)
−1 5
0 4
1 5
2 8

f(x) will eventually exceed g(x) because f(x) has a higher rate of change.
f(x) will eventually exceed g(x) because f(x) is an exponential function.
g(x) will eventually exceed f(x) because g(x) has a higher rate of change.
g(x) will eventually exceed f(x) because g(x) is an exponential function.