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

x -1 0 1 2
f(x) 0.5 1 2 4

x -1 0 1 2
g(x) −7 −2 5 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.