Consider the table of values for functions f and g below.

x f(x) g(x)
0 3 3
1 7 11
2 19 19
3 55 27
4 163 35
5 457 43

which of the following statements is true?

a.
as x increases, the rate of change of g exceeds the rate of change of f.
b.
as x increases, the rate of change of f exceeds the rate of change of g.
c.
at x = 2, the rate of change of f is equal to the rate of change of g.
d.
for every value of x, the rate of change of f exceeds the rate of change of g.