171ad5…: “Versus the important lemma”

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The image below shows the graph of $f$, $f'$, and $f''$. Determine which graph corresponds to which function.

(a): Graph $\answer [format=string]{B}$ corresponds to the graph of $f$.
(b): Graph $\answer [format=string]{A}$ corresponds to the graph of $f'$.
(c): Graph $\answer [format=string]{C}$ corresponds to the graph of $f''$.