A college student makes $2.50 per hour serving tables at a restaurant. The college student also receives an average of $6.00 in tips for every table served.
If the college student serves 3 tables each hour, which function, f (x), represents the total amount the college student makes for serving tables for 2
hours?
f(x) = 2.50z +18.00
f(x) = 2.50x + 18.00:
(z) = 3 (2.50 +6.00x)
S () = 3 (2.50z +6.00)

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.