Respuesta :

Answer:

B. -6

Step-by-step explanation:

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

b = 4, f(b) = -15

a = 2, f(a) = -3

Plug in the values

[tex] \frac{-15 - (-3)}{4 - 2} [/tex]

[tex] = \frac{-12}{2} = -6 [/tex]

The average rate of change of the given quadratic function in the given interval is -6.

How to get the average rate of change?

On the graph, we can see that:

f(4) = -15

f(2) = -3

Then the average rate of change on that interval will be:

[tex]y = \frac{f(4) - f(2)}{4 - 2} = \frac{-15 + 3}{2} = -6[/tex]

Then we conclude that the average rate of change of the given quadratic function on the given interval is -6.

If you want to learn more about rates of change:

https://brainly.com/question/8728504

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