Questions: Just output the content of the question, DO NOT output additional information or explanations.

Just output the content of the question, DO NOT output additional information or explanations.
Transcript text: Just output the content of the question, DO NOT output additional information or explanations.
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Solution

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Solution Steps

Step 1: Identify the type of function

The graph appears to be a polynomial function due to its smooth, continuous curve and multiple turning points.

Step 2: Determine the degree of the polynomial

Count the number of turning points. The graph has 4 turning points, suggesting that the polynomial is of degree 5 (one more than the number of turning points).

Step 3: Identify the roots of the polynomial

The roots (x-intercepts) of the polynomial are the points where the graph crosses the x-axis. From the graph, the roots are approximately at:

  • x = -3.5
  • x = -1.5
  • x = 0.5
  • x = 2.5
  • x = 4

Final Answer

The function is a 5th-degree polynomial with roots approximately at x = -3.5, -1.5, 0.5, 2.5, and 4.

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