<h2>
Answer with explanation:</h2>
We know that the average rate of function f(x) from x=a to x=b i.e. in the interval [a,b] is calculated as follows:

a)

interval: [-2,3]
We have:

and

The average rate of change is calculated as:

Hence, Average rate of change is: 4
b)

interval: [4,5]

and

The average rate of change is calculated as:

Hence, Average rate of change is: 3
c)

interval : [-3,4]


The average rate of change is calculated as:

Hence, Average rate of change is: -1
d)

interval : [-1,1]

and

The average rate of change is calculated as:

Hence, Average rate of change is: 0
<em>Hence, on arranging the functions from greatest to least value based on average rate of change in the specified interval is:</em>

i.e. a < b < d < c