Consider the function f(x) = 1-2x² on the interval [-2, 8]. Find the average or mean slope of the function on this inter
Posted: Wed Jul 06, 2022 12:39 pm
Consider the function f(x) = 1-2x² 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.