Consider the function f(x) = 6 – 2x on the interval [ - 2, 8]. Find the average or mean slope of the function on this interval, i.e. f(8) – f( – 2) 8 - (– 2) By the Mean Value Theorem, we know there exists a c in the open interval ( – 2, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Consider the function f(x) = 10/x + 2 on the interval 4, 5]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (4, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Consider the function f(x) = on the interval [2, 12]. (A) Find the average or mean slope of the function on this interval, i.e. f(12) – f(2) 12 – 2 (B) By the Mean Value Theorem, we know there exists a c in the open interval (2, 12) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of values: