Compare the functions shown below:
f(x)
x y
−3 −27
−2 −8
−1 −1
0 0
1 1
2 8
3 27
4 64

g(x)
linear graph with y intercept of negative 1 and x intercept of negative 2

h(x) = (x + 4)2 + 2

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?
f(x), g(x), h(x)
g(x), f(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)