Questions: Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any. (a) Use the graph to determine intervals on which the function is increasing, if any. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is increasing on the interval(s) . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. There is no interval on which the function is increasing.

Solution Steps

• The function is increasing where the graph moves upwards as we move from left to right.
• From the graph, the function is increasing in the intervals:
  • From \( x = -6 \) to \( x = -4 \)
  • From \( x = 0 \) to \( x = 1 \)
  • From \( x = 3 \) to \( x = 4 \)
  • From \( x = 5 \) to \( x = 6 \)

• The function is decreasing where the graph moves downwards as we move from left to right.
• From the graph, the function is decreasing in the intervals:
  • From \( x = -4 \) to \( x = -2 \)
  • From \( x = -2 \) to \( x = 0 \)
  • From \( x = 1 \) to \( x = 3 \)
  • From \( x = 4 \) to \( x = 5 \)

• The function is constant where the graph is a horizontal line.
• From the graph, there are no intervals where the function is constant.

Final Answer