Question

Compare the three functions.

f(x) = 44x
x y
0 0
1 44
2 88
3 132
4 176
5 220

g(x) = 4^x
x y
0 1
1 4
2 16
3 64
4 256
5 1,024

h(x) = 4x^2
x y
0 0
1 4
2 16
3 36
4 64
5 100

Which of the statements is true?

A. As x approaches positive infinity, g(x) exceeds f(x) and h(x).

B. As x approaches positive infinity, h(x) exceeds f(x) and g(x).

C. As x approaches positive infinity, f(x) exceeds g(x) and h(x).

D. As x approaches positive infinity, g(x) converges with h(x).