Final answer:
The average rate of change of f(x) from x = -3 to x = 6 is 7.
Step-by-step explanation:
To find the average rate of change of from x = -3 to x = 6, we need to calculate the difference in the values of at these two points and divide it by the difference in their corresponding x-values.
First, we substitute the values of x into the given function:
f(-3) = (-3)^2 + 4(-3) - 15 = 9 - 12 - 15 = -18
f(6) = (6)^2 + 4(6) - 15 = 36 + 24 - 15 = 45
Then, we calculate the difference in the function values:
45 - (-18) = 63
Finally, we divide the function value difference by the x-value difference:
(6 - (-3)) = 9
So, the average rate of change of from x = -3 to x = 6 is