Graphing using calculus problem. (Attached picture with question and my answer). Please check to see if I'm right. If I'm wrong, explain please.

Question

anonymous · Answer

Attached here is the picture:

anonymous · Answer

if you look at the derivative graph, it is positive on the interval (0, 1) so shouldn't the function be increasing?

anonymous · Answer

in fact, the derivative is never negative so the function should be increasing...

anonymous · Answer

So if I made a sort of y = x^3 graph that has an inflection point at 1 would that work?

anonymous · Answer

lemme ask you this...
would it fit the conditions that you read off of the given graphs?

anonymous · Answer

could you draw the cubic graph that will fit the conditions?

anonymous · Answer

Yeah hold on

anonymous · Answer

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