Drag each tile to the correct box. consider the exponential functions below. put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals. tiles function h interval [3, 5] function g interval [2, 3] function f interval [3, 6] third picture: x h(x) 1 1 2 2 3 4 4 8 5 16 6 32

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

Substitute

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

Substitute

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

Substitute

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6