Consider the function f(x) 1 on the interval 2, 9. 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 (2, 9) such...

Please can you take a look at my question and please can you write your answers clearly maybe by underpinning it. Thanks

Extracted text: Consider the function f(x) 1 on the interval 2, 9. 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 (2, 9) such that f' (c) is equal to this mean slope. For this problem, there is only one c that works. Find it.