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Select all the exterma that are part of the graph of the polynomial equation y=4x^4+6x^3-x

Select All The Exterma That Are Part Of The Graph Of The Polynomial Equation Y4x46x3x class=

Sagot :

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.

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