What is the maximum number of relative extrema that a sixth degree polynomial can have?(1 point)

Question

Responses

four at most
four at most

six at most
six at most

three at most
three at most

five at most

Answer 1

The maximum number of relative extrema a polynomial can have is determined by its degree. A sixth degree polynomial can have at most \( n - 1 \) relative extrema, where \( n \) is the degree of the polynomial.

For a sixth degree polynomial, the maximum number of relative extrema is:

\[ 6 - 1 = 5 \]

Therefore, the correct response is:

five at most.