Question: Consider the function f ( x ) = 2 x 3 - 6 x 2 - 9 0 x + 8 on the interval -

Consider the function f(x)=2x3-6x2-90x+8 on the interval -6,8. 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 (-6,8) 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 ) = 2 x 3 - 6 x 2 - 9

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