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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? (9, 4) (9, 3) (9, 82)

Respuesta :

The average rate of change of the function f(x) is 0.2 and the coordinates of the end of the interval are (9 , 4).

What is average rate of change?

The average rate of change formula is used to find the slope of a graphed function.

For a function f(x) on the interval [a,b], average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Given:

  1. f(x) = √(x) + 1
  2. x ∈ [4,9]

Then, f(4) = √4 + 1 = 2 + 1 = 3

and f(9) = √9 + 1 = 3 + 1 = 4

Thus, the average rate of change of f(x) = [tex]\frac{f(9)-f(4)}{9-4} = \frac{4-3}{5} =\frac{1}{5}=0.2[/tex]

Now, since f(4) = 3 and f(9) = 4,

The coordinates of the start of the interval are (4 , 3) and the end of the interval are (9 , 4).

To learn more about the average rate of change, refer to the link: https://brainly.com/question/8728504

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