Questions: Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.
Transcript text: Use the graph of the function to estimate the intervals on which the function is increasing or decreasing.
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Solution

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Solution Steps

Step 1: Identify the intervals of the graph

Examine the graph to determine where the function is increasing and where it is decreasing. The function appears to have a V-shape, with a vertex at the point (0, -10).

Step 2: Determine the increasing interval

The function is increasing on the interval where the graph moves upwards. This occurs from the vertex at (0, -10) to the right. Therefore, the increasing interval is from \( x = 0 \) to \( x = 10 \).

Step 3: Determine the decreasing interval

The function is decreasing on the interval where the graph moves downwards. This occurs from the leftmost point at \( x = -10 \) to the vertex at \( x = 0 \). Therefore, the decreasing interval is from \( x = -10 \) to \( x = 0 \).

Final Answer

  • Increasing: \( (0, 10) \)
  • Decreasing: \( (-10, 0) \)
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