Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval. tilesf(x) = x2 + 3xinterval: [-2, 3]f(x) = 3x - 8interval: [4, 5]f(x) = x2 - 2xinterval: [-3, 4]f(x) = x2 - 5interval: [-1, 1]sequence> > >

By definition, the average rate of change is given by:

We evaluate each of the functions in the given interval.

We have then:

For f (x) = x ^ 2 + 3x:

Evaluating for x = -2:

Evaluating for x = 3:

Then, the AVR is:

For f (x) = 3x - 8:

Evaluating for x =4:

Evaluating for x = 5:

Then, the AVR is:

For f (x) = x ^ 2 - 2x:

Evaluating for x = -3:

Evaluating for x = 4:

Then, the AVR is:

For f (x) = x ^ 2 - 5:

Evaluating for x = -1:

Evaluating for x = 1:

Then, the AVR is:

from the greatest to the least value based on the average rate of change in the specified interval:

f(x) = x^2 + 3x interval: [-2, 3]

f(x) = 3x - 8 interval: [4, 5]

f(x) = x^2 - 5 interval: [-1, 1]

f(x) = x^2 - 2x interval: [-3, 4]