The leading term of this polynomial is 4x^4, so it is a fourth degree polynomial.
Since the coefficient of the leading term is positive and the leading term is even (4th degree), we will have an absolute maximum.
Then, since we have a 4th degree polynomial, we have 3 positions where the slope is zero, that is, we have a minimum or maximum point.
So, after the absolute maximum, we have a relative minimum, then relative maximum, then another relative minimum, then it goes again to the absolute maximum.
So the correct options are the second, third and fourth ones.
