For example, consider two functions monotonically increasing (when they have at least one intersection) in a particular interval，how many intersections do they have? Which factor may influence the number of intersection?
What if I add the condition that one's value includes the other's?
Meanwhile, I also wonder if there's a rule to determine whether two monotonically increasing functions with one's value including the other have only 1 intersection points?
Does this related to derivatives or concavity, or there just don't have a rule?
2026-03-26 06:05:21.1774505121
How many intersections of two functions with the same monotonicity?
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