Respuesta :

The average rate of change of the function in the interval is of 3.

What is the average rate of change?

The average rate of change of a function f(x) over an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem:

  • The interval is from 3 to 6, hence [tex]a = 3, b = 6[/tex].
  • [tex]f(3) = 3(3) - 8 = 1[/tex]
  • [tex]f(6) = 3(6) - 8 = 10[/tex]

Hence:

[tex]A = \frac{10 - 1}{6 - 3} = 3[/tex]

You can learn more about the average rate of change at https://brainly.com/question/7501987

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