Questions: The function is increasing on . The function is decreasing on State the location of any local maximum as an ordered pair: State the location of any local minimum as an ordered pair:

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 on the intervals:

• From \( x = -10 \) to \( x = -6 \)
• From \( x = 2 \) to \( x = 10 \)

The function is decreasing where the graph moves downwards as we move from left to right. From the graph, the function is decreasing on the intervals:

• From \( x = -6 \) to \( x = 2 \)

A local maximum occurs where the function changes from increasing to decreasing. A local minimum occurs where the function changes from decreasing to increasing. From the graph:

• The local maximum is at approximately \( (-6, 1) \)
• The local minimum is at approximately \( (2, -7) \)

Final Answer