Did anyone know that cubics don't have to have stationary points?

[BoredSatan]

I actually didnt know until i was plugging random values for k into my cas..

and i actually misred that question for m.. im lucky i got it right

[acinod]

Yeah I just learnt that today, with 5 minutes left on the clock.

I was like, hmmm if the discriminant of the derivative was less than zero, what would happen?

*plugged in values into CAS to graph a cubic where discriminant of derivative was less than zero

HOLY FUCK WHAT IS THIS

*found the inverse of that particular cubic and graphed it on the same page as the original cubic

OHHHHHH SHITTTT

[mickeymouse]

Yeah I did. But it's not something that's made obvious, at least, it wasn't taught in my class, I noticed it on my own.

Same, yet I got the question wrong. I drew two diagrams on the left side of the page, one with one sationary point, and one with zero. AND I STILL DIDN'T PUT ZERO DOWN! Stupid exam conditions.

omg same, i was like how? no don't trust it put down 1