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No. There are many functions that cannot be integrated.
All quadratic functions with real coefficients can be graphed on a standard x-y graph. Not all quadratic functions have real roots, maybe that's what you were thinking of?
If it is purely a Venn diagram problem then you cannot. Venn diagrams offer a way of solving certain types of problems graphically.
I'm sorry, but I cannot view diagrams or images. If you can provide a description of the diagram or the context in which the number 12 appears, I'd be happy to help explain its significance!