AP Calculus ABeasymcq1 pt

If f''(x) < 0 for all x in an interval I, then f is

A.C) concave up on I

B.D) concave down on I

C.A) increasing on I

D.B) decreasing 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

BD) concave down on I

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