Answer:
The mean value of this function on the interval [7, 11] is 6.
Step-by-step 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.
Answer:
(f o g) (x) = f(g(x)) = f(1) = 2 = 2
(g o f) (x) = g(f(x)) = g (2) = 1 = 1
Step-by-step explanation:
hope that helps!
Answer:
Steady rate
Step-by-step explanation:
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.