Rates of rates

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Two young mathematicians look at graph of a function, its first derivative, and its second derivative.

Check out this dialogue between two calculus students (based on a true story):

Devyn: Riley, check out this plot:
Riley: Whoa, that looks cool!
Devyn: I know! Anyway, someone told me that this was a graph of a function, its derivative, and the derivative of the derivative. Which one is which?
Riley: Hmmmmm. I’m not sure.

Which of the following is true?

Curve $A$ is increasing when curve $B$ is positive. Curve $A$ is increasing when curve $C$ is positive. None of the above.

Which of the following is true?

Curve $B$ is increasing when curve $A$ is positive. Curve $B$ is increasing when curve $C$ is positive. None of the above.

Which of the following is true?

Curve $C$ is increasing when curve $A$ is positive. Curve $C$ is increasing when curve $B$ is positive. None of the above.