Answer:
The mean value of this function on the interval [7, 11] is 6.
Explanation:
The given function f(x)= x^2 - 12x + 16 has the value
f(7)= 7^2 - 12(7) + 16, or -19, at x = 7. Thus, one point on the curve is (7, -19).
The given function f(x) = x^2 - 12x + 16 has the value
f(11)= 11^2 - 12(11) + 16, or 5, at x = 11. The second point on the curve is (11, 5).
Using the mean value formula, we get:
f(11) - f(7) 5 - (-19)
------------- = -------------- = 24/4 = 6
11 - 7 4
The mean value of this function on the interval [7, 11] is 6.