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- - (1 point) Consider the function f(x) = 2x3 12x2 30x + 1 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 at least one c in the open interval (-6, 8) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. If there are no values of c that work, enter None. List of numbers: (1 point) Graph the function f(x) = x + 4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] C= Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line