Second Derivative and Concavity

Question

All of the following statements regarding the second derivative of a function `f` and the concavity of its graph are true EXCEPT:

Accepted Answer

If $$f''(x) > 0$$, then f is concave down.

Answer

A point where $$f''(x)$$ changes sign is a point of inflection.

Answer

If $$f''(x) > 0$$, then f is concave upward.

Answer

If $$f''(x) < 0$$, then f is concave downward.

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