[size=3]Hello, adaeze!

Welcome aboard!

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,canhave 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.