The function f(x) =- 8x2 + 95.2x + 749.8 is a good model of the relationship between the number of $1 increases and the predicted revenue
per show. Use this model to determine the predicted revenue after the 6th
and 7th price increases. What do you notice?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.