APFIVE Properties of Function Concavity
All of the following statements about the concavity of a function are true EXCEPT:
A
A function is concave up over an interval if its rate of change is decreasing on that interval.
B
A function is concave up over an interval if its second derivative is positive throughout that interval.
C
A function is concave down over an interval if its second derivative is negative throughout that interval.
D
A function is concave up if the slope of the tangent line is increasing as x increases.
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