Question

1. max: min: increasing: decreasing: constant:

Explanation:

Step1: Identify maximum value

The highest - point on the graph gives the maximum. By observing the graph, the maximum value occurs at the peak of the first upward - sloping part. Reading from the y - axis, Max: 4.

Step2: Identify minimum value

The lowest - point on the graph gives the minimum. The minimum value occurs at the starting point. Reading from the y - axis, Min: 1.

Step3: Determine increasing intervals

An increasing interval is where the y - values increase as the x - values increase. Increasing: $x\in(0,2)$ and $x\in(5,7)$.

Step4: Determine decreasing intervals

A decreasing interval is where the y - values decrease as the x - values increase. Decreasing: $x\in(2,4)$.

Step5: Determine constant intervals

A constant interval is where the y - values remain the same as the x - values increase. Constant: $x\in(4,5)$.

Answer:

Max: 4
Min: 1
Increasing: $x\in(0,2)\cup(5,7)$
Decreasing: $x\in(2,4)$
Constant: $x\in(4,5)$