Questions: Use the graph of the function f given below to answer the questions. List the values of x at which f has a local maximum. Select the correct choice below and fill in any answer boxes within your choice. A. x= (Type an integer. Use a comma to separate answers as needed.) B. There are no local maxima.

Use the graph of the function f given below to answer the questions. List the values of x at which f has a local maximum. Select the correct choice below and fill in any answer boxes within your choice. A. x= (Type an integer. Use a comma to separate answers as needed.) B. There are no local maxima.
Transcript text: Use the graph of the function $f$ given below to answer the questions. List the values of x at which f has a local maximum. Select the correct choice below and fill in any answer boxes within your choice. A. $x=$ $\square$ (Type an integer. Use a comma to separate answers as needed.) B. There are no local maxima.
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Solution

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Solution Steps

Step 1: Identify the Problem

The problem asks to list the values of x at which the function has a local maximum.

Step 2: Analyze the Graph

Examine the graph to identify the points where the function reaches local maximum values. These are the peaks of the graph.

Step 3: Determine the x-values

From the graph, identify the x-coordinates of the peaks. These are the points where the function changes from increasing to decreasing.

Final Answer

The x-values at which the function has a local maximum are approximately \( x = -2, 1, 4 \).

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