Question

1. max: min: increasing: decreasing:

Explanation:

Step1: Identify maximum points

The highest - point of the graph gives the maximum value. By observing the graph, the y - coordinate of the highest - point is the maximum.

Step2: Identify minimum points

The lowest - point of the graph gives the minimum value. By observing the graph, the y - coordinate of the lowest - point is the minimum.

Step3: Determine increasing intervals

An interval where the function is increasing is where the graph goes up as we move from left to right.

Step4: Determine decreasing intervals

An interval where the function is decreasing is where the graph goes down as we move from left to right.

Assume the grid has each square representing 1 unit on both x and y axes.
Let's say the left - most point is at $(x_1,y_1)$ and the right - most point is at $(x_2,y_2)$.

The maximum value (Max) occurs at the highest y - value of the graph. Looking at the graph, if we assume the highest point is at a y - coordinate of 8 (counting the grid squares), Max: 8.
The minimum value (Min) occurs at the lowest y - value of the graph. If we assume the lowest point is at a y - coordinate of 2, Min: 2.

For the increasing intervals, we observe where the graph is rising. If we assume the x - values range from 0 to 10 (counting grid squares on the x - axis), the increasing intervals are: $(0,3)\cup(6,10)$ (assuming the graph starts at x = 0).
For the decreasing intervals, we observe where the graph is falling. The decreasing interval is $(3,6)$.

Answer:

Max: 8
Min: 2
Increasing: $(0,3)\cup(6,10)$
Decreasing: $(3,6)$