True or false, inflection and concavity questions?

True or False, If false please explain why.





(1) the graph of every cubic polynomial has precisely one point of inflection





(2) f''(2)=0 then the graph of f must have a point of inflection at x=2





(3) If f ' (c)%26gt;0 then f is concave upward at x=cTrue or false, inflection and concavity questions?
1) affirmative


2) negative


3) affirmative





To understand why, graph some curves.True or false, inflection and concavity questions?
(3) = Did you mean f ' ' (c) ?