Compare the functions shown below:

f(x) = (x + 3)^2 − 2

g(x)
linear graph with y intercept of negative 3 over 2 and x intercept of 3

h(x)

x y
−3 2
−2 7
−1 14
0 23
1 34
2 47
3 62

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?

f(x), g(x), h(x)
g(x), f(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)

Question

Compare the functions shown below:

f(x) = (x + 3)^2 − 2

g(x)
linear graph with y intercept of negative 3 over 2 and x intercept of 3

h(x)

x y
−3 2
−2 7
−1 14
0 23
1 34
2 47
3 62

What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?

f(x), g(x), h(x)
g(x), f(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)

Vocaloid · Answer

hint: rate of change formula is

[ f(x2) - f(x1) ] / x2 - x1

evaluate the rate of change for h, g, and f using this formula, where x1 = -1 and x2 = 3

good luck