determine the maximum possible number of turning points for the graph of the function.

(f(x) = 9x^6 - 2x^5 - 3x - 4)

a. 0
b. 6
c. 9
d. 5

Question

determine the maximum possible number of turning points for the graph of the function.

(f(x) = 9x^6 - 2x^5 - 3x - 4)

a. 0
b. 6
c. 9
d. 5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Degree of Polynomial", "Turning Points" ], "new_concepts": [], "current_concepts": [ "Degree of Polynomial", "Turning Points" ] } ## Identify the degree of the polynomial Using the *Degree of Polynomial* knowledge point $$ \begin{aligned} &f(x) = 9x^6 - 2x^5 - 3x - 4\ &\text{Degree } (n) = 6 \end{aligned} $$ ## Determine the maximum number of turning points Using the *Turning Points* knowledge point $$ \begin{aligned} &\text{Max Turning Points} = n - 1\ &\text{Max Turning Points} = 6 - 1 = 5 \end{aligned} $$

(A) 0

(B) 6

(C) 9

(D) 5

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Turning Points" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the degree of the polynomial

Determine the maximum number of turning points

Answer: