Questions: Determine all intervals on which the graph of f is increasing.

Determine all intervals on which the graph of f is increasing.
Transcript text: Determine all intervals on which the graph of $f$ is increasing.
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Solution

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Solution Steps

Step 1: Identify the intervals where the graph is increasing

To determine where the graph of \( f \) is increasing, we need to look for sections where the graph is moving upwards as we move from left to right.

Step 2: Analyze the graph

From the graph, we can see that the function \( f \) is increasing in the following intervals:

  • From \( x = -7 \) to \( x = -4 \)
  • From \( x = 1 \) to \( x = 4 \)
  • From \( x = 6 \) to \( x = 8 \)
Step 3: Write the intervals in interval notation

The intervals where the graph of \( f \) is increasing are:

  • \( (-7, -4) \)
  • \( (1, 4) \)
  • \( (6, 8) \)

Final Answer

The graph of \( f \) is increasing on the intervals \( (-7, -4) \), \( (1, 4) \), and \( (6, 8) \).

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