AP Calculus ABeasymcq1 pt
If f''(x) < 0 for all x in an interval I, then f is
A.increasing on I
B.decreasing on I
C.concave up on I
D.concave down on I
Explanation
Core Concept
The second derivative of a function tells us about the concavity of the function. If f''(x) < 0 for all x in an interval I, then f is concave down on that interval. This means the graph of f curves downward, like a frown.
Correct Answer
Dconcave down on I
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