During a competition, an archer fires an arrow at a target on a hill. The arrow reaches a maximum height of 127 feet 2.75 seconds after it was fired. The arrow hits the target 5 seconds after the archer releases it. If the arrow is released from a height of 6 feet, how far above the ground on which the archer is standing is the target?

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.