The following is the graph of by Algebra Xpressor, but it doesn't
make sense at all according to our analysis.

I thought that this could be a chanllenge for students to make a logical conjecture about the graph of the function and complete the half of it. The next is showing and .

If students really understood the relationship between a function and its differential function, then this kind of limitation from the mathematical application itself would be easily corrected and make an advanced learning experience for the students.