- Consider the function f(x) = 2x- 6x - 48x + 7 on the interval [...

Transcribed Image Text:

- Consider the function f(x) = 2x- 6x - 48x + 7 on the interval [ 5, 7]. 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 (- 5, 7) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is - Consider the function f(x) = 2x- 6x - 48x + 7 on the interval [ 5, 7]. 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 (- 5, 7) such that f'(c) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is