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Use the graph below to answer the question that follows:


Graph of curve that passes through the following points 0, 7 and pi over 2, negative 1 and pi, 7 and 3 pi over 2, negative 1

What is the rate of change between the interval x = π and x = three pi over two ?

PLEASE HELP!

Respuesta :

Using it's formula, it is found that the average rate of change in the interval [tex]\left(\pi, \frac{3\pi}{2}\right)[/tex] is of [tex]-\frac{16}{\pi}[/tex].

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the input divided by the change in the output.

In this problem, the points state that:

  • Input [tex]\pi[/tex], output 7.
  • Input [tex]\frac{3\pi}{2}[/tex], output -1.

Hence the rate is given by:

[tex]r = \frac{-1 - 7}{\frac{3\pi}{2} - \pi} = -\frac{16}{\pi}[/tex]

More can be learned about the average rate of change at https://brainly.com/question/24313700

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