Question

max: min: increasing: decreasing: constant:

Explanation:

Step1: Identify maximum value

The highest - point on the graph is at the vertex of the upward - sloping part. Reading from the y - axis, the maximum value (Max) occurs at the y - coordinate of the vertex. If we assume each grid square is 1 unit, the Max is 5.

Step2: Identify minimum value

The lowest non - open - circle value on the graph is at the starting point of the non - horizontal part of the graph. The Min is 0.

Step3: Determine increasing intervals

The function is increasing when the y - values are getting larger as the x - values increase. The increasing interval is from x = 3 to x = 5.

Step4: Determine decreasing intervals

The function is decreasing when the y - values are getting smaller as the x - values increase. The decreasing interval is from x = 5 to x = 8.

Step5: Determine constant intervals

The function is constant when the y - values do not change as the x - values increase. The constant interval is from x = 0 to x = 3.

Answer:

Max: 5
Min: 0
Increasing: \(3\lt x\lt5\)
Decreasing: \(5\lt x\lt8\)
Constant: \(0\lt x\lt3\)