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Error Direction from Concavity
Worksheet
Grade Level
Calculus II
CAL2.54 Error Direction from Concavity
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A function is continuous on [0, 4], and f''(x) is positive on (0, 2) but negative on (2, 4). Which conclusion about M_4 over [0, 4] is justified?
A
It overestimates the exact integral.
B
No error direction is guaranteed by the concavity rule alone.
C
It underestimates the exact integral.
D
It is exact for every number of subintervals.
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