2. emma has been training for a bike race. she
recorded her training times in the table
below. emma believes that if her average
speed is above 15 miles per hour, then she
has a good chance of winning the race. on
which day(s) was emma's average speed over
15 miles per hour?
time (h) distance (mi)
day
monday
wednesday
saturday
sunday

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.