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:




Answer:
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]
respuesta :
eso es un ejemplo aver si te ayuda
explicacion :
polinomio en una letra Grado
2x³ - 5x² + 8 ⇒ 3
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An irrational number is any number that is a real number, a full number or whole one, and that can`t be shown as a ratio. It is a number that cannot be shown as a simple fraction. An irrational number is one that is shown as a repeated decimal or fraction.
Ah. I just learned this! The lines are parallel.