Find the average rate of change of the function f (x) = startroot x endroot + 1 on the interval 4 ≤ x ≤ 9. recall that the coordinates for the start of the interval are (4, 3).
what are the coordinates for the end of the interval?

The average rate of change of the function f(x) is 0.2

The coordinates of the end of the interval are (9 , 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- We can calculate the average rat of change of a function f(x) on

 interval [a , b] by using the rule

* Lets solve the problem

∵ The function f(x) = √x + 1

∵ The interval of the function is 4 ≤ x ≤ 9

∵ The average rate = on the interval

   [a , b] ⇒ (a ≤ x ≤ b)

∴ a = 4 and b = 9

∴ f(4) = √4 + 1 = 2 + 1 = 3

∴ f(9) = √9 + 1 = 3 + 1 = 4

∴ The average rate of change of f(x) =

∴ The average rate of change of f(x) = = 0.2

* The average rate of change of the function f(x) is 0.2

∵ f(4) = 3

∵ f(9) = 4

∵ f(x) on the interval 4 ≤ x ≤ 9

∵ The coordinates of the start of the interval are (4 , 3)

∴ The coordinates of the end of the interval are (9 , 4)

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step-by-step explanation:

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