Eis a math tutor. she charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. when the number of hours (h) that julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (a) that julie earns in dollars is . if julie earns $410 tutoring one student, the total number of hours she spent tutoring the student is .

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.