kayla is standing in the gym watching the PE teacher toss volleyballs into the ball bin. She estimates that the PE teacher's hand is 4 feet above the gym floor, the ball bin is 4 feet high and she is standing 10 feet from the ball bin while the maximum height of the ball is 8 feet. quadratic equation.

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.