The amount in Ebony’s bank account B (d)
is a function of the number of days d since she opened the account.
The graph shows segments representing her day-by-day bank balance. Although there are no labeled tick marks
on the graph, you can answer the questions by using the additional given information as well as your general
knowledge of graphs of functions.

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.