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:
- f(x) = √(x) + 1
- 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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