The tables show values for two functions, f(x) and g(x) , over the interval [0,4]. Which statement best describes how the functions compare over the interval [5,10] ?
x f(x) x g(x)
0 0 0 1
1 2 1 2
2 6 2 4
3 12 3 8
4 20 4 16
a. Over the interval [5,10].f(x)>g(x) because f(x) is increasing at an exponential rate.
b. Over the interval [5,10]. g(x)>f(x) because g(x) is increasing at an exponential rate.
c. Over the interval [5,10], g(x)>f(x) because g(x) is increasing at a quadratic rate.
d. Over the interval [5,10], f(x)>g(x) because f(x) is increasing at a quadratic rate.
