Melanie is at the fair and she is on a budget. She knows she will spends $5 to get in, $8 on snacks and the rest on tickets for games which sell for $0.75 per ticket. If she can spend a maximum of $20, then what is the most amount of tickets she can buy?

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.