Questions: At which x-values does the function have local maxima? If there is more than one value, separate them with commas.

At which x-values does the function have local maxima? If there is more than one value, separate them with commas.
Transcript text: At which $x$-values does the function have local maxima? If there is more than one value, separate them with commas.
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Solution

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Solution Steps

Step 1: Identify the First Three Questions

The given text contains several questions labeled (D), (c), and (d). According to the guidelines, we will only answer the first three questions. The first three questions are:

  1. At which \( x \)-values does the function have local maxima?
  2. What is the sign of the function's leading coefficient?
  3. Which of the following is a possibility for the degree of the function? Choose all that apply.
Step 2: Analyze the First Question

The first question asks for the \( x \)-values where the function has local maxima. However, the text does not provide any specific function or additional information to determine these values. Therefore, we cannot answer this question without further details.

Step 3: Analyze the Second Question

The second question asks about the sign of the function's leading coefficient. The text provides the answer as "Positive." Therefore, the leading coefficient of the function is positive.

Step 4: Analyze the Third Question

The third question asks which of the following numbers could be the degree of the function: 4, 5, 6, 7, 8, 9. Without additional information about the function, we cannot determine the exact degree. However, since the leading coefficient is positive, any of these degrees could be possible.

Final Answer

  1. At which \( x \)-values does the function have local maxima?
    • Not enough information provided.
  2. What is the sign of the function's leading coefficient?
    • \(\boxed{\text{Positive}}\)
  3. Which of the following is a possibility for the degree of the function? Choose all that apply.
    • \(\boxed{4, 5, 6, 7, 8, 9}\)
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