Pregunta
Question
Given that the polynomial
has degree 9 , which of the following most accurately describes the number of turning points
of
?
Select the correct answer below.
The graph of
has at most 10 turning points.
The graph of
has at most 9 turning points.
The graph of
has at most 8 turning points.
The graph of
has at least 8 turning points.
The graph of
has at least 10 turning points.
The graph of
has at least 9 turning points.
Given that the polynomial
of
Select the correct answer below.
The graph of
The graph of
The graph of
The graph of
The graph of
The graph of
Ask by Ramos Ruiz. in the United States
Jan 24,2025
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The graph of
has at most 8 turning points.
Solución

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Como
Extra Insights
The graph of a polynomial has turning points where it changes direction, and the maximum number of turning points is one less than the degree of the polynomial. Since
has a degree of 9, it can have at most 8 turning points. This means the correct answer is that the graph of
has at most 8 turning points.
Feeling curious? The maximum number of turning points can show us a lot about the behavior of polynomials. For a degree 9 polynomial, you have the potential for a variety of wavy paths through the x-y plane—maybe a roller coaster ride with several ups and downs! So the more the degree, the more exciting, right?

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