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

-6

Step-by-step explanation:

The average rate of a function f(x) on the interval from x=a to x=b is .

So in the problem you have from to .

The average rate of the function from x=2 to x=4 is

.

Now we need to find f(4) and f(2).

f(4) means what is the y-coordinate that corresponds to x=4 on the curve.

f(4)=-15 since the ordered pair at x=4 is (4,-15).

f(2) means what is the y-coordinate that corresponds to x=2 on the curve.

f(2)=-3 since the ordered pair at x=2 is (2,-3).

So let's plug in those values:

.

Now we just simplify:

a

step-by-step explanation: