-10 -8 -6 -4 -2 10 8 6 2 2 f -8 Y 10 2 6 8 +x 10 Identify the x-coordinate of the absolute minimum of f(x) based on its graph shown in the figure. Enter only the x-coordinate of the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Identify the x-coordinate of the absolute minimum of f(x) based on its graph shown in the figure. Enter only the x-coordinate of the minimum.
The graph represents the function \( f(x) \), plotted on a coordinate grid. The grid’s axes range from \(-10\) to \(10\) on both the x-axis and y-axis. The plot shows a smooth curve with a notable U-shape.

### Graph Description:
- The function appears to drop sharply on the left side, reaching a low point, then rises slightly, followed by a smaller dip before ascending steeply on the right side.
- There is an evident lowest point on the graph, indicating the absolute minimum.

### Task:
Identify the x-coordinate of the absolute minimum of \( f(x) \) based on its graph shown. Enter only the x-coordinate of the minimum.

### Answer Box:
Provide your answer below:  
[Answer Box]
Transcribed Image Text:The graph represents the function \( f(x) \), plotted on a coordinate grid. The grid’s axes range from \(-10\) to \(10\) on both the x-axis and y-axis. The plot shows a smooth curve with a notable U-shape. ### Graph Description: - The function appears to drop sharply on the left side, reaching a low point, then rises slightly, followed by a smaller dip before ascending steeply on the right side. - There is an evident lowest point on the graph, indicating the absolute minimum. ### Task: Identify the x-coordinate of the absolute minimum of \( f(x) \) based on its graph shown. Enter only the x-coordinate of the minimum. ### Answer Box: Provide your answer below: [Answer Box]
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