Can you get a 4th degree polynomial with a graph that only has 1 turn?
This is the problem: .
I thought the number of turns is determined by ,
. . being the exponent of the leading term. , This is true (sort of).
So, I thought this graph should have 3 turns.
A quartic function, can have three turns.
. . and is shaped like: .
But if some of terms are missing, some of the bumps may "smooth out".
The extreme case is: , which resembles a parabola.