Concavity and Average Rate of Change
If the average rate of change of a function over equal-length input-value intervals is increasing, what does this imply about the function?
A
The function is concave up, indicating a positive second derivative throughout its domain.
B
The function oscillates, alternating between concave up and concave down regions.
C
The function is concave down, suggesting a negative second derivative across its entire domain.
D
The function is linear, implying a constant first derivative and zero second derivative.
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