Question

The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 0≤x≤5 goes from least to greatest.

Answer 1

The average rate of change for the interval of x from 0 to 5 can be calculated by the following formula of the average rate of change:

$a=\frac{y(5)-y(0)}{5}$

Using the formula for each of the functions, we have:

f(x): (0, 0) and (5, -20)

g(x): (0, 17) and (5, 2)

h(x): (0, 13) and (5, 8)

the rates are:

The order of the functions, from the smaller to the bigger, is:

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