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

x f(x)
−1 0.5
0 1
1 2
2 4

x g(x)
−1 −7
0 −2
1 5
2 14

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