Consider the function f(x) = 2 - 8x^2on the interval [-

Last updated: 8/11/2022

Consider the function f(x) = 2 - 8x^2on the interval [- 5,8]. Find the average or mean slope of the function on this interval, i.e. (f(8) - f(-5))/(8 - (-5))=___________ By the Mean Value Theorem, we know there exists a c in the open interval (-5,8) such that f'(c) equal to this mean slope. For this problem, there is only one c that works. Find it. ____________