The data in the table shows the speed of a ride at an amusement park at different times one
afternoon.
time 3: 20 3: 21 3: 22 3: 23 3: 24 3: 25
speed (mi/h) 0 14 416280
graph the function that shows the speed of the ride over time. in the graph, represent the
time 3: 20 with the x-coordinate 20.
(20,0) to (21,14)
(21,14) to (22,41)
speed (mi/h)
(22,41) to (23,62)
(23,62) to (24,8)
• (24,8) to (25,0)
18
19
25
26
20 21 22 23 24
minutes after 3 p. m.
check answer
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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.