Can a function really have no critical points?

[GreenPrint]

why is it that in algebra 2 people are told about complex numbers then they magically disappear for like 5 years and there not suppose to exist... sorry for wrong title I can't change it =(

[Mentallic]

I don't quite understand what you're asking. What magically disappears? The complex numbers?

Say when you work with quadratics, the teachers don't want to start confusing you with complex roots when it's already enough strain on the student to understand everything there is to know about real roots. When real world applications are involved in the problems at hand, complex numbers are going to be ignored and just understood as "There is no solution".