What is the average rate of change for this quadratic function for the interval
from x = 2 to x = 4?

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.
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.
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