Question

max:
min:
increasing:
decreasing:

Explanation:

Step1: Identify maximum point

The open - circle at the top of the right - hand "hump" is the highest point in the visible part of the graph. By looking at the grid, if we assume each square represents 1 unit, the maximum value of the function in the visible domain occurs at the open - circle point. But since it's an open - circle, the function doesn't actually take that value. Looking at the overall trend, there is no absolute maximum shown. So, we say Max: None.

Step2: Identify minimum point

The lowest point of the graph is at the bottom of the "valley". Reading from the grid, the y - coordinate of the minimum point is at y = - 3. So, Min: - 3.

Step3: Determine increasing intervals

The function is increasing when the y - values are getting larger as the x - values increase. Looking at the graph, the function is increasing on the intervals (-∞, - 2) and (1, 3).

Step4: Determine decreasing intervals

The function is decreasing when the y - values are getting smaller as the x - values increase. The function is decreasing on the intervals (- 2, 1) and (3, ∞).

Answer:

Max: None
Min: - 3
Increasing: (-∞, - 2), (1, 3)
Decreasing: (- 2, 1), (3, ∞)